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Finding the Third Proportional to 157,864 and 338,192

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Solution

The third proportional to 157,864 and 338,192 is: 724,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,864 : 338,192 = 338,192 : x
  2. Step 2: Convert to fraction form
    157,864/338,192 = 338,192/x
  3. Step 3: Cross multiply
    157,864x = 338,192 × 338,192
  4. Step 4: Simplify right side
    157,864x = 114,373,828,864
  5. Step 5: Solve for x
    x = 114,373,828,864/157,864
  6. Step 6: Final answer
    x = 724,508.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.