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Finding the Third Proportional to 269,107 and 416,684

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Solution

The third proportional to 269,107 and 416,684 is: 645,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,107 : 416,684 = 416,684 : x
  2. Step 2: Convert to fraction form
    269,107/416,684 = 416,684/x
  3. Step 3: Cross multiply
    269,107x = 416,684 × 416,684
  4. Step 4: Simplify right side
    269,107x = 173,625,555,856
  5. Step 5: Solve for x
    x = 173,625,555,856/269,107
  6. Step 6: Final answer
    x = 645,191.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.