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Finding the Third Proportional to 267,398 and 401,156

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Solution

The third proportional to 267,398 and 401,156 is: 601,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,398 : 401,156 = 401,156 : x
  2. Step 2: Convert to fraction form
    267,398/401,156 = 401,156/x
  3. Step 3: Cross multiply
    267,398x = 401,156 × 401,156
  4. Step 4: Simplify right side
    267,398x = 160,926,136,336
  5. Step 5: Solve for x
    x = 160,926,136,336/267,398
  6. Step 6: Final answer
    x = 601,822.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.