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Finding the Third Proportional to 144,865.97 and 313,849.69

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Solution

The third proportional to 144,865.97 and 313,849.69 is: 679,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,865.97 : 313,849.69 = 313,849.69 : x
  2. Step 2: Convert to fraction form
    144,865.97/313,849.69 = 313,849.69/x
  3. Step 3: Cross multiply
    144,865.97x = 313,849.69 × 313,849.69
  4. Step 4: Simplify right side
    144,865.97x = 98,501,626,343.85
  5. Step 5: Solve for x
    x = 98,501,626,343.85/144,865.97
  6. Step 6: Final answer
    x = 679,950.08

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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.