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Finding the Third Proportional to 176,103 and 267,522

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Solution

The third proportional to 176,103 and 267,522 is: 406,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,103 : 267,522 = 267,522 : x
  2. Step 2: Convert to fraction form
    176,103/267,522 = 267,522/x
  3. Step 3: Cross multiply
    176,103x = 267,522 × 267,522
  4. Step 4: Simplify right side
    176,103x = 71,568,020,484
  5. Step 5: Solve for x
    x = 71,568,020,484/176,103
  6. Step 6: Final answer
    x = 406,398.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.