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Finding the Third Proportional to 115,337 and 247,917

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Solution

The third proportional to 115,337 and 247,917 is: 532,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,337 : 247,917 = 247,917 : x
  2. Step 2: Convert to fraction form
    115,337/247,917 = 247,917/x
  3. Step 3: Cross multiply
    115,337x = 247,917 × 247,917
  4. Step 4: Simplify right side
    115,337x = 61,462,838,889
  5. Step 5: Solve for x
    x = 61,462,838,889/115,337
  6. Step 6: Final answer
    x = 532,897.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.