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Finding the Third Proportional to 179,143 and 267,778

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Solution

The third proportional to 179,143 and 267,778 is: 400,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,143 : 267,778 = 267,778 : x
  2. Step 2: Convert to fraction form
    179,143/267,778 = 267,778/x
  3. Step 3: Cross multiply
    179,143x = 267,778 × 267,778
  4. Step 4: Simplify right side
    179,143x = 71,705,057,284
  5. Step 5: Solve for x
    x = 71,705,057,284/179,143
  6. Step 6: Final answer
    x = 400,267.15

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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.