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Finding the Third Proportional to 144,040 and 309,404

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Solution

The third proportional to 144,040 and 309,404 is: 664,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,040 : 309,404 = 309,404 : x
  2. Step 2: Convert to fraction form
    144,040/309,404 = 309,404/x
  3. Step 3: Cross multiply
    144,040x = 309,404 × 309,404
  4. Step 4: Simplify right side
    144,040x = 95,730,835,216
  5. Step 5: Solve for x
    x = 95,730,835,216/144,040
  6. Step 6: Final answer
    x = 664,612.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.