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Finding the Third Proportional to 161,839.13 and 242,760.94

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Solution

The third proportional to 161,839.13 and 242,760.94 is: 364,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,839.13 : 242,760.94 = 242,760.94 : x
  2. Step 2: Convert to fraction form
    161,839.13/242,760.94 = 242,760.94/x
  3. Step 3: Cross multiply
    161,839.13x = 242,760.94 × 242,760.94
  4. Step 4: Simplify right side
    161,839.13x = 58,932,872,775.88
  5. Step 5: Solve for x
    x = 58,932,872,775.88/161,839.13
  6. Step 6: Final answer
    x = 364,144.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.