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Finding the Third Proportional to 118,883 and 247,729

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Solution

The third proportional to 118,883 and 247,729 is: 516,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,883 : 247,729 = 247,729 : x
  2. Step 2: Convert to fraction form
    118,883/247,729 = 247,729/x
  3. Step 3: Cross multiply
    118,883x = 247,729 × 247,729
  4. Step 4: Simplify right side
    118,883x = 61,369,657,441
  5. Step 5: Solve for x
    x = 61,369,657,441/118,883
  6. Step 6: Final answer
    x = 516,218.95

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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.