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Finding the Third Proportional to 141,972 and 305,814

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Solution

The third proportional to 141,972 and 305,814 is: 658,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,972 : 305,814 = 305,814 : x
  2. Step 2: Convert to fraction form
    141,972/305,814 = 305,814/x
  3. Step 3: Cross multiply
    141,972x = 305,814 × 305,814
  4. Step 4: Simplify right side
    141,972x = 93,522,202,596
  5. Step 5: Solve for x
    x = 93,522,202,596/141,972
  6. Step 6: Final answer
    x = 658,736.95

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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.