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Finding the Third Proportional to 267,119 and 382,642

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Solution

The third proportional to 267,119 and 382,642 is: 548,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,119 : 382,642 = 382,642 : x
  2. Step 2: Convert to fraction form
    267,119/382,642 = 382,642/x
  3. Step 3: Cross multiply
    267,119x = 382,642 × 382,642
  4. Step 4: Simplify right side
    267,119x = 146,414,900,164
  5. Step 5: Solve for x
    x = 146,414,900,164/267,119
  6. Step 6: Final answer
    x = 548,126.12

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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.