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Finding the Third Proportional to 175,140.56 and 264,321.56

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Solution

The third proportional to 175,140.56 and 264,321.56 is: 398,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,140.56 : 264,321.56 = 264,321.56 : x
  2. Step 2: Convert to fraction form
    175,140.56/264,321.56 = 264,321.56/x
  3. Step 3: Cross multiply
    175,140.56x = 264,321.56 × 264,321.56
  4. Step 4: Simplify right side
    175,140.56x = 69,865,888,402.44
  5. Step 5: Solve for x
    x = 69,865,888,402.44/175,140.56
  6. Step 6: Final answer
    x = 398,913.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.