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Finding the Third Proportional to 144,001.13 and 217,986.19

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Solution

The third proportional to 144,001.13 and 217,986.19 is: 329,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,001.13 : 217,986.19 = 217,986.19 : x
  2. Step 2: Convert to fraction form
    144,001.13/217,986.19 = 217,986.19/x
  3. Step 3: Cross multiply
    144,001.13x = 217,986.19 × 217,986.19
  4. Step 4: Simplify right side
    144,001.13x = 47,517,977,940.79
  5. Step 5: Solve for x
    x = 47,517,977,940.79/144,001.13
  6. Step 6: Final answer
    x = 329,983.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.