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Finding the Third Proportional to 144,865.13 and 221,619.38

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Solution

The third proportional to 144,865.13 and 221,619.38 is: 339,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,865.13 : 221,619.38 = 221,619.38 : x
  2. Step 2: Convert to fraction form
    144,865.13/221,619.38 = 221,619.38/x
  3. Step 3: Cross multiply
    144,865.13x = 221,619.38 × 221,619.38
  4. Step 4: Simplify right side
    144,865.13x = 49,115,147,375.39
  5. Step 5: Solve for x
    x = 49,115,147,375.39/144,865.13
  6. Step 6: Final answer
    x = 339,040.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.