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Finding the Third Proportional to 175,181 and 267,146

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Solution

The third proportional to 175,181 and 267,146 is: 407,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,181 : 267,146 = 267,146 : x
  2. Step 2: Convert to fraction form
    175,181/267,146 = 267,146/x
  3. Step 3: Cross multiply
    175,181x = 267,146 × 267,146
  4. Step 4: Simplify right side
    175,181x = 71,366,985,316
  5. Step 5: Solve for x
    x = 71,366,985,316/175,181
  6. Step 6: Final answer
    x = 407,389.99

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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.