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Finding the Third Proportional to 157,560.75 and 345,732.75

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Solution

The third proportional to 157,560.75 and 345,732.75 is: 758,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,560.75 : 345,732.75 = 345,732.75 : x
  2. Step 2: Convert to fraction form
    157,560.75/345,732.75 = 345,732.75/x
  3. Step 3: Cross multiply
    157,560.75x = 345,732.75 × 345,732.75
  4. Step 4: Simplify right side
    157,560.75x = 119,531,134,422.56
  5. Step 5: Solve for x
    x = 119,531,134,422.56/157,560.75
  6. Step 6: Final answer
    x = 758,635.22

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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.