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Finding the Third Proportional to 94,482 and 206,448

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Solution

The third proportional to 94,482 and 206,448 is: 451,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,482 : 206,448 = 206,448 : x
  2. Step 2: Convert to fraction form
    94,482/206,448 = 206,448/x
  3. Step 3: Cross multiply
    94,482x = 206,448 × 206,448
  4. Step 4: Simplify right side
    94,482x = 42,620,776,704
  5. Step 5: Solve for x
    x = 42,620,776,704/94,482
  6. Step 6: Final answer
    x = 451,099.43

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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.