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Finding the Third Proportional to 157,851.75 and 240,717.38

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Solution

The third proportional to 157,851.75 and 240,717.38 is: 367,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,851.75 : 240,717.38 = 240,717.38 : x
  2. Step 2: Convert to fraction form
    157,851.75/240,717.38 = 240,717.38/x
  3. Step 3: Cross multiply
    157,851.75x = 240,717.38 × 240,717.38
  4. Step 4: Simplify right side
    157,851.75x = 57,944,854,626.89
  5. Step 5: Solve for x
    x = 57,944,854,626.89/157,851.75
  6. Step 6: Final answer
    x = 367,084.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.