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Finding the Third Proportional to 140,904 and 217,917

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Solution

The third proportional to 140,904 and 217,917 is: 337,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904 : 217,917 = 217,917 : x
  2. Step 2: Convert to fraction form
    140,904/217,917 = 217,917/x
  3. Step 3: Cross multiply
    140,904x = 217,917 × 217,917
  4. Step 4: Simplify right side
    140,904x = 47,487,818,889
  5. Step 5: Solve for x
    x = 47,487,818,889/140,904
  6. Step 6: Final answer
    x = 337,022.50

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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.