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Finding the Third Proportional to 157,537.13 and 345,687.75

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Solution

The third proportional to 157,537.13 and 345,687.75 is: 758,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,537.13 : 345,687.75 = 345,687.75 : x
  2. Step 2: Convert to fraction form
    157,537.13/345,687.75 = 345,687.75/x
  3. Step 3: Cross multiply
    157,537.13x = 345,687.75 × 345,687.75
  4. Step 4: Simplify right side
    157,537.13x = 119,500,020,500.06
  5. Step 5: Solve for x
    x = 119,500,020,500.06/157,537.13
  6. Step 6: Final answer
    x = 758,551.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.