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Finding the Third Proportional to 157,851.56 and 240,717.09

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Solution

The third proportional to 157,851.56 and 240,717.09 is: 367,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,851.56 : 240,717.09 = 240,717.09 : x
  2. Step 2: Convert to fraction form
    157,851.56/240,717.09 = 240,717.09/x
  3. Step 3: Cross multiply
    157,851.56x = 240,717.09 × 240,717.09
  4. Step 4: Simplify right side
    157,851.56x = 57,944,719,223.45
  5. Step 5: Solve for x
    x = 57,944,719,223.45/157,851.56
  6. Step 6: Final answer
    x = 367,083.60

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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.