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Finding the Third Proportional to 100,577 and 220,498

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Solution

The third proportional to 100,577 and 220,498 is: 483,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577 : 220,498 = 220,498 : x
  2. Step 2: Convert to fraction form
    100,577/220,498 = 220,498/x
  3. Step 3: Cross multiply
    100,577x = 220,498 × 220,498
  4. Step 4: Simplify right side
    100,577x = 48,619,368,004
  5. Step 5: Solve for x
    x = 48,619,368,004/100,577
  6. Step 6: Final answer
    x = 483,404.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.