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Finding the Third Proportional to 175,086 and 267,003

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Solution

The third proportional to 175,086 and 267,003 is: 407,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086 : 267,003 = 267,003 : x
  2. Step 2: Convert to fraction form
    175,086/267,003 = 267,003/x
  3. Step 3: Cross multiply
    175,086x = 267,003 × 267,003
  4. Step 4: Simplify right side
    175,086x = 71,290,602,009
  5. Step 5: Solve for x
    x = 71,290,602,009/175,086
  6. Step 6: Final answer
    x = 407,174.77

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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.