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Finding the Third Proportional to 157,680 and 235,902

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Solution

The third proportional to 157,680 and 235,902 is: 352,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,680 : 235,902 = 235,902 : x
  2. Step 2: Convert to fraction form
    157,680/235,902 = 235,902/x
  3. Step 3: Cross multiply
    157,680x = 235,902 × 235,902
  4. Step 4: Simplify right side
    157,680x = 55,649,753,604
  5. Step 5: Solve for x
    x = 55,649,753,604/157,680
  6. Step 6: Final answer
    x = 352,928.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.