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Finding the Third Proportional to 182,704 and 398,522

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Solution

The third proportional to 182,704 and 398,522 is: 869,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,704 : 398,522 = 398,522 : x
  2. Step 2: Convert to fraction form
    182,704/398,522 = 398,522/x
  3. Step 3: Cross multiply
    182,704x = 398,522 × 398,522
  4. Step 4: Simplify right side
    182,704x = 158,819,784,484
  5. Step 5: Solve for x
    x = 158,819,784,484/182,704
  6. Step 6: Final answer
    x = 869,273.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.