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Finding the Third Proportional to 94,446 and 207,522

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Solution

The third proportional to 94,446 and 207,522 is: 455,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446 : 207,522 = 207,522 : x
  2. Step 2: Convert to fraction form
    94,446/207,522 = 207,522/x
  3. Step 3: Cross multiply
    94,446x = 207,522 × 207,522
  4. Step 4: Simplify right side
    94,446x = 43,065,380,484
  5. Step 5: Solve for x
    x = 43,065,380,484/94,446
  6. Step 6: Final answer
    x = 455,978.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.