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Finding the Third Proportional to 157,521.38 and 345,660.75

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Solution

The third proportional to 157,521.38 and 345,660.75 is: 758,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,521.38 : 345,660.75 = 345,660.75 : x
  2. Step 2: Convert to fraction form
    157,521.38/345,660.75 = 345,660.75/x
  3. Step 3: Cross multiply
    157,521.38x = 345,660.75 × 345,660.75
  4. Step 4: Simplify right side
    157,521.38x = 119,481,354,090.56
  5. Step 5: Solve for x
    x = 119,481,354,090.56/157,521.38
  6. Step 6: Final answer
    x = 758,508.83

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Why These Related Problems?

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