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Finding the Third Proportional to 200,824 and 267,737

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Solution

The third proportional to 200,824 and 267,737 is: 356,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,824 : 267,737 = 267,737 : x
  2. Step 2: Convert to fraction form
    200,824/267,737 = 267,737/x
  3. Step 3: Cross multiply
    200,824x = 267,737 × 267,737
  4. Step 4: Simplify right side
    200,824x = 71,683,101,169
  5. Step 5: Solve for x
    x = 71,683,101,169/200,824
  6. Step 6: Final answer
    x = 356,944.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.