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Finding the Third Proportional to 242,213.63 and 360,551.25

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Solution

The third proportional to 242,213.63 and 360,551.25 is: 536,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,213.63 : 360,551.25 = 360,551.25 : x
  2. Step 2: Convert to fraction form
    242,213.63/360,551.25 = 360,551.25/x
  3. Step 3: Cross multiply
    242,213.63x = 360,551.25 × 360,551.25
  4. Step 4: Simplify right side
    242,213.63x = 129,997,203,876.56
  5. Step 5: Solve for x
    x = 129,997,203,876.56/242,213.63
  6. Step 6: Final answer
    x = 536,704.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.