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Finding the Third Proportional to 62,309.88 and 150,223.36

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Solution

The third proportional to 62,309.88 and 150,223.36 is: 362,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,309.88 : 150,223.36 = 150,223.36 : x
  2. Step 2: Convert to fraction form
    62,309.88/150,223.36 = 150,223.36/x
  3. Step 3: Cross multiply
    62,309.88x = 150,223.36 × 150,223.36
  4. Step 4: Simplify right side
    62,309.88x = 22,567,057,701.91
  5. Step 5: Solve for x
    x = 22,567,057,701.91/62,309.88
  6. Step 6: Final answer
    x = 362,174.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.