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Finding the Third Proportional to 267,177 and 382,716

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Solution

The third proportional to 267,177 and 382,716 is: 548,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,177 : 382,716 = 382,716 : x
  2. Step 2: Convert to fraction form
    267,177/382,716 = 382,716/x
  3. Step 3: Cross multiply
    267,177x = 382,716 × 382,716
  4. Step 4: Simplify right side
    267,177x = 146,471,536,656
  5. Step 5: Solve for x
    x = 146,471,536,656/267,177
  6. Step 6: Final answer
    x = 548,219.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.