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Finding the Third Proportional to 144,136 and 231,591

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Solution

The third proportional to 144,136 and 231,591 is: 372,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,136 : 231,591 = 231,591 : x
  2. Step 2: Convert to fraction form
    144,136/231,591 = 231,591/x
  3. Step 3: Cross multiply
    144,136x = 231,591 × 231,591
  4. Step 4: Simplify right side
    144,136x = 53,634,391,281
  5. Step 5: Solve for x
    x = 53,634,391,281/144,136
  6. Step 6: Final answer
    x = 372,109.61

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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.