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Finding the Third Proportional to 120,033 and 261,665

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Solution

The third proportional to 120,033 and 261,665 is: 570,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,033 : 261,665 = 261,665 : x
  2. Step 2: Convert to fraction form
    120,033/261,665 = 261,665/x
  3. Step 3: Cross multiply
    120,033x = 261,665 × 261,665
  4. Step 4: Simplify right side
    120,033x = 68,468,572,225
  5. Step 5: Solve for x
    x = 68,468,572,225/120,033
  6. Step 6: Final answer
    x = 570,414.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.