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Finding the Third Proportional to 144,081 and 231,499

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Solution

The third proportional to 144,081 and 231,499 is: 371,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,081 : 231,499 = 231,499 : x
  2. Step 2: Convert to fraction form
    144,081/231,499 = 231,499/x
  3. Step 3: Cross multiply
    144,081x = 231,499 × 231,499
  4. Step 4: Simplify right side
    144,081x = 53,591,787,001
  5. Step 5: Solve for x
    x = 53,591,787,001/144,081
  6. Step 6: Final answer
    x = 371,955.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.