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Finding the Third Proportional to 143,869.50 and 213,013.13

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Solution

The third proportional to 143,869.50 and 213,013.13 is: 315,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,869.50 : 213,013.13 = 213,013.13 : x
  2. Step 2: Convert to fraction form
    143,869.50/213,013.13 = 213,013.13/x
  3. Step 3: Cross multiply
    143,869.50x = 213,013.13 × 213,013.13
  4. Step 4: Simplify right side
    143,869.50x = 45,374,591,422.27
  5. Step 5: Solve for x
    x = 45,374,591,422.27/143,869.50
  6. Step 6: Final answer
    x = 315,387.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.