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Finding the Third Proportional to 118,737 and 242,317

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Solution

The third proportional to 118,737 and 242,317 is: 494,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,737 : 242,317 = 242,317 : x
  2. Step 2: Convert to fraction form
    118,737/242,317 = 242,317/x
  3. Step 3: Cross multiply
    118,737x = 242,317 × 242,317
  4. Step 4: Simplify right side
    118,737x = 58,717,528,489
  5. Step 5: Solve for x
    x = 58,717,528,489/118,737
  6. Step 6: Final answer
    x = 494,517.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.