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Finding the Third Proportional to 267,941 and 363,871

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Solution

The third proportional to 267,941 and 363,871 is: 494,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,941 : 363,871 = 363,871 : x
  2. Step 2: Convert to fraction form
    267,941/363,871 = 363,871/x
  3. Step 3: Cross multiply
    267,941x = 363,871 × 363,871
  4. Step 4: Simplify right side
    267,941x = 132,402,104,641
  5. Step 5: Solve for x
    x = 132,402,104,641/267,941
  6. Step 6: Final answer
    x = 494,146.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.