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Finding the Third Proportional to 144,486 and 191,718

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Solution

The third proportional to 144,486 and 191,718 is: 254,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,486 : 191,718 = 191,718 : x
  2. Step 2: Convert to fraction form
    144,486/191,718 = 191,718/x
  3. Step 3: Cross multiply
    144,486x = 191,718 × 191,718
  4. Step 4: Simplify right side
    144,486x = 36,755,791,524
  5. Step 5: Solve for x
    x = 36,755,791,524/144,486
  6. Step 6: Final answer
    x = 254,389.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.