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Finding the Third Proportional to 152,204 and 242,400

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Solution

The third proportional to 152,204 and 242,400 is: 386,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,204 : 242,400 = 242,400 : x
  2. Step 2: Convert to fraction form
    152,204/242,400 = 242,400/x
  3. Step 3: Cross multiply
    152,204x = 242,400 × 242,400
  4. Step 4: Simplify right side
    152,204x = 58,757,760,000
  5. Step 5: Solve for x
    x = 58,757,760,000/152,204
  6. Step 6: Final answer
    x = 386,046.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.