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Finding the Third Proportional to 118,866 and 247,695

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Solution

The third proportional to 118,866 and 247,695 is: 516,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,866 : 247,695 = 247,695 : x
  2. Step 2: Convert to fraction form
    118,866/247,695 = 247,695/x
  3. Step 3: Cross multiply
    118,866x = 247,695 × 247,695
  4. Step 4: Simplify right side
    118,866x = 61,352,813,025
  5. Step 5: Solve for x
    x = 61,352,813,025/118,866
  6. Step 6: Final answer
    x = 516,151.07

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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.