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Finding the Third Proportional to 143,700.75 and 220,573.13

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Solution

The third proportional to 143,700.75 and 220,573.13 is: 338,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,700.75 : 220,573.13 = 220,573.13 : x
  2. Step 2: Convert to fraction form
    143,700.75/220,573.13 = 220,573.13/x
  3. Step 3: Cross multiply
    143,700.75x = 220,573.13 × 220,573.13
  4. Step 4: Simplify right side
    143,700.75x = 48,652,503,472.27
  5. Step 5: Solve for x
    x = 48,652,503,472.27/143,700.75
  6. Step 6: Final answer
    x = 338,568.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.