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Finding the Third Proportional to 144,655.88 and 222,481.69

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Solution

The third proportional to 144,655.88 and 222,481.69 is: 342,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,655.88 : 222,481.69 = 222,481.69 : x
  2. Step 2: Convert to fraction form
    144,655.88/222,481.69 = 222,481.69/x
  3. Step 3: Cross multiply
    144,655.88x = 222,481.69 × 222,481.69
  4. Step 4: Simplify right side
    144,655.88x = 49,498,101,272.85
  5. Step 5: Solve for x
    x = 49,498,101,272.85/144,655.88
  6. Step 6: Final answer
    x = 342,178.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.