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Finding the Third Proportional to 120,898 and 261,260

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Solution

The third proportional to 120,898 and 261,260 is: 564,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,898 : 261,260 = 261,260 : x
  2. Step 2: Convert to fraction form
    120,898/261,260 = 261,260/x
  3. Step 3: Cross multiply
    120,898x = 261,260 × 261,260
  4. Step 4: Simplify right side
    120,898x = 68,256,787,600
  5. Step 5: Solve for x
    x = 68,256,787,600/120,898
  6. Step 6: Final answer
    x = 564,581.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.