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Finding the Third Proportional to 144,850.78 and 313,819.31

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Solution

The third proportional to 144,850.78 and 313,819.31 is: 679,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,850.78 : 313,819.31 = 313,819.31 : x
  2. Step 2: Convert to fraction form
    144,850.78/313,819.31 = 313,819.31/x
  3. Step 3: Cross multiply
    144,850.78x = 313,819.31 × 313,819.31
  4. Step 4: Simplify right side
    144,850.78x = 98,482,560,897.97
  5. Step 5: Solve for x
    x = 98,482,560,897.97/144,850.78
  6. Step 6: Final answer
    x = 679,889.75

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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.