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Finding the Third Proportional to 118,387 and 260,102

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Solution

The third proportional to 118,387 and 260,102 is: 571,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,387 : 260,102 = 260,102 : x
  2. Step 2: Convert to fraction form
    118,387/260,102 = 260,102/x
  3. Step 3: Cross multiply
    118,387x = 260,102 × 260,102
  4. Step 4: Simplify right side
    118,387x = 67,653,050,404
  5. Step 5: Solve for x
    x = 67,653,050,404/118,387
  6. Step 6: Final answer
    x = 571,456.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.