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Finding the Third Proportional to 142,443 and 220,554

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Solution

The third proportional to 142,443 and 220,554 is: 341,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443 : 220,554 = 220,554 : x
  2. Step 2: Convert to fraction form
    142,443/220,554 = 220,554/x
  3. Step 3: Cross multiply
    142,443x = 220,554 × 220,554
  4. Step 4: Simplify right side
    142,443x = 48,644,066,916
  5. Step 5: Solve for x
    x = 48,644,066,916/142,443
  6. Step 6: Final answer
    x = 341,498.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.