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Finding the Third Proportional to 176,114 and 267,533

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Solution

The third proportional to 176,114 and 267,533 is: 406,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,114 : 267,533 = 267,533 : x
  2. Step 2: Convert to fraction form
    176,114/267,533 = 267,533/x
  3. Step 3: Cross multiply
    176,114x = 267,533 × 267,533
  4. Step 4: Simplify right side
    176,114x = 71,573,906,089
  5. Step 5: Solve for x
    x = 71,573,906,089/176,114
  6. Step 6: Final answer
    x = 406,406.68

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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.