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Finding the Third Proportional to 157,744 and 244,392

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Solution

The third proportional to 157,744 and 244,392 is: 378,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,744 : 244,392 = 244,392 : x
  2. Step 2: Convert to fraction form
    157,744/244,392 = 244,392/x
  3. Step 3: Cross multiply
    157,744x = 244,392 × 244,392
  4. Step 4: Simplify right side
    157,744x = 59,727,449,664
  5. Step 5: Solve for x
    x = 59,727,449,664/157,744
  6. Step 6: Final answer
    x = 378,635.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.