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Finding the Third Proportional to 242.63 and 529.50

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Solution

The third proportional to 242.63 and 529.50 is: 1,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.63 : 529.50 = 529.50 : x
  2. Step 2: Convert to fraction form
    242.63/529.50 = 529.50/x
  3. Step 3: Cross multiply
    242.63x = 529.50 × 529.50
  4. Step 4: Simplify right side
    242.63x = 280,370.25
  5. Step 5: Solve for x
    x = 280,370.25/242.63
  6. Step 6: Final answer
    x = 1,155.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.