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Finding the Third Proportional to 143,188 and 220,188

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Solution

The third proportional to 143,188 and 220,188 is: 338,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,188 : 220,188 = 220,188 : x
  2. Step 2: Convert to fraction form
    143,188/220,188 = 220,188/x
  3. Step 3: Cross multiply
    143,188x = 220,188 × 220,188
  4. Step 4: Simplify right side
    143,188x = 48,482,755,344
  5. Step 5: Solve for x
    x = 48,482,755,344/143,188
  6. Step 6: Final answer
    x = 338,595.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.