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Finding the Third Proportional to 101,466 and 220,425

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Solution

The third proportional to 101,466 and 220,425 is: 478,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,466 : 220,425 = 220,425 : x
  2. Step 2: Convert to fraction form
    101,466/220,425 = 220,425/x
  3. Step 3: Cross multiply
    101,466x = 220,425 × 220,425
  4. Step 4: Simplify right side
    101,466x = 48,587,180,625
  5. Step 5: Solve for x
    x = 48,587,180,625/101,466
  6. Step 6: Final answer
    x = 478,851.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.