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Finding the Third Proportional to 140,684 and 325,404

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Solution

The third proportional to 140,684 and 325,404 is: 752,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,684 : 325,404 = 325,404 : x
  2. Step 2: Convert to fraction form
    140,684/325,404 = 325,404/x
  3. Step 3: Cross multiply
    140,684x = 325,404 × 325,404
  4. Step 4: Simplify right side
    140,684x = 105,887,763,216
  5. Step 5: Solve for x
    x = 105,887,763,216/140,684
  6. Step 6: Final answer
    x = 752,663.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.