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Finding the Third Proportional to 144,241.88 and 313,359.75

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Solution

The third proportional to 144,241.88 and 313,359.75 is: 680,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,241.88 : 313,359.75 = 313,359.75 : x
  2. Step 2: Convert to fraction form
    144,241.88/313,359.75 = 313,359.75/x
  3. Step 3: Cross multiply
    144,241.88x = 313,359.75 × 313,359.75
  4. Step 4: Simplify right side
    144,241.88x = 98,194,332,920.06
  5. Step 5: Solve for x
    x = 98,194,332,920.06/144,241.88
  6. Step 6: Final answer
    x = 680,761.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.