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Finding the Third Proportional to 177,024 and 267,005

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Solution

The third proportional to 177,024 and 267,005 is: 402,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,024 : 267,005 = 267,005 : x
  2. Step 2: Convert to fraction form
    177,024/267,005 = 267,005/x
  3. Step 3: Cross multiply
    177,024x = 267,005 × 267,005
  4. Step 4: Simplify right side
    177,024x = 71,291,670,025
  5. Step 5: Solve for x
    x = 71,291,670,025/177,024
  6. Step 6: Final answer
    x = 402,723.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.