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Finding the Third Proportional to 140,037.75 and 215,248.13

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Solution

The third proportional to 140,037.75 and 215,248.13 is: 330,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,037.75 : 215,248.13 = 215,248.13 : x
  2. Step 2: Convert to fraction form
    140,037.75/215,248.13 = 215,248.13/x
  3. Step 3: Cross multiply
    140,037.75x = 215,248.13 × 215,248.13
  4. Step 4: Simplify right side
    140,037.75x = 46,331,755,316.02
  5. Step 5: Solve for x
    x = 46,331,755,316.02/140,037.75
  6. Step 6: Final answer
    x = 330,851.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.