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Finding the Third Proportional to 118,793.25 and 242,406

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Solution

The third proportional to 118,793.25 and 242,406 is: 494,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,793.25 : 242,406 = 242,406 : x
  2. Step 2: Convert to fraction form
    118,793.25/242,406 = 242,406/x
  3. Step 3: Cross multiply
    118,793.25x = 242,406 × 242,406
  4. Step 4: Simplify right side
    118,793.25x = 58,760,668,836
  5. Step 5: Solve for x
    x = 58,760,668,836/118,793.25
  6. Step 6: Final answer
    x = 494,646.53

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