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Finding the Third Proportional to 120,868 and 266,792

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Solution

The third proportional to 120,868 and 266,792 is: 588,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,868 : 266,792 = 266,792 : x
  2. Step 2: Convert to fraction form
    120,868/266,792 = 266,792/x
  3. Step 3: Cross multiply
    120,868x = 266,792 × 266,792
  4. Step 4: Simplify right side
    120,868x = 71,177,971,264
  5. Step 5: Solve for x
    x = 71,177,971,264/120,868
  6. Step 6: Final answer
    x = 588,890.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.