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Finding the Third Proportional to 172,329.75 and 252,487.13

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Solution

The third proportional to 172,329.75 and 252,487.13 is: 369,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,329.75 : 252,487.13 = 252,487.13 : x
  2. Step 2: Convert to fraction form
    172,329.75/252,487.13 = 252,487.13/x
  3. Step 3: Cross multiply
    172,329.75x = 252,487.13 × 252,487.13
  4. Step 4: Simplify right side
    172,329.75x = 63,749,748,290.77
  5. Step 5: Solve for x
    x = 63,749,748,290.77/172,329.75
  6. Step 6: Final answer
    x = 369,928.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.