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Finding the Third Proportional to 172,422 and 267,598.69

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Solution

The third proportional to 172,422 and 267,598.69 is: 415,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,422 : 267,598.69 = 267,598.69 : x
  2. Step 2: Convert to fraction form
    172,422/267,598.69 = 267,598.69/x
  3. Step 3: Cross multiply
    172,422x = 267,598.69 × 267,598.69
  4. Step 4: Simplify right side
    172,422x = 71,609,057,551.72
  5. Step 5: Solve for x
    x = 71,609,057,551.72/172,422
  6. Step 6: Final answer
    x = 415,312.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.