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Finding the Third Proportional to 118,862 and 247,684

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Solution

The third proportional to 118,862 and 247,684 is: 516,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,862 : 247,684 = 247,684 : x
  2. Step 2: Convert to fraction form
    118,862/247,684 = 247,684/x
  3. Step 3: Cross multiply
    118,862x = 247,684 × 247,684
  4. Step 4: Simplify right side
    118,862x = 61,347,363,856
  5. Step 5: Solve for x
    x = 61,347,363,856/118,862
  6. Step 6: Final answer
    x = 516,122.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.