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Finding the Third Proportional to 179,140 and 267,774

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Solution

The third proportional to 179,140 and 267,774 is: 400,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,140 : 267,774 = 267,774 : x
  2. Step 2: Convert to fraction form
    179,140/267,774 = 267,774/x
  3. Step 3: Cross multiply
    179,140x = 267,774 × 267,774
  4. Step 4: Simplify right side
    179,140x = 71,702,915,076
  5. Step 5: Solve for x
    x = 71,702,915,076/179,140
  6. Step 6: Final answer
    x = 400,261.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.