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Finding the Third Proportional to 150,003.14 and 328,027.22

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Solution

The third proportional to 150,003.14 and 328,027.22 is: 717,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003.14 : 328,027.22 = 328,027.22 : x
  2. Step 2: Convert to fraction form
    150,003.14/328,027.22 = 328,027.22/x
  3. Step 3: Cross multiply
    150,003.14x = 328,027.22 × 328,027.22
  4. Step 4: Simplify right side
    150,003.14x = 107,601,856,240.86
  5. Step 5: Solve for x
    x = 107,601,856,240.86/150,003.14
  6. Step 6: Final answer
    x = 717,330.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.