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Finding the Third Proportional to 157,731 and 244,917

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Solution

The third proportional to 157,731 and 244,917 is: 380,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,731 : 244,917 = 244,917 : x
  2. Step 2: Convert to fraction form
    157,731/244,917 = 244,917/x
  3. Step 3: Cross multiply
    157,731x = 244,917 × 244,917
  4. Step 4: Simplify right side
    157,731x = 59,984,336,889
  5. Step 5: Solve for x
    x = 59,984,336,889/157,731
  6. Step 6: Final answer
    x = 380,295.17

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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.