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Finding the Third Proportional to 144,092 and 231,515

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Solution

The third proportional to 144,092 and 231,515 is: 371,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,092 : 231,515 = 231,515 : x
  2. Step 2: Convert to fraction form
    144,092/231,515 = 231,515/x
  3. Step 3: Cross multiply
    144,092x = 231,515 × 231,515
  4. Step 4: Simplify right side
    144,092x = 53,599,195,225
  5. Step 5: Solve for x
    x = 53,599,195,225/144,092
  6. Step 6: Final answer
    x = 371,978.98

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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.