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Finding the Third Proportional to 150,421.43 and 330,363.56

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Solution

The third proportional to 150,421.43 and 330,363.56 is: 725,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,421.43 : 330,363.56 = 330,363.56 : x
  2. Step 2: Convert to fraction form
    150,421.43/330,363.56 = 330,363.56/x
  3. Step 3: Cross multiply
    150,421.43x = 330,363.56 × 330,363.56
  4. Step 4: Simplify right side
    150,421.43x = 109,140,083,427.69
  5. Step 5: Solve for x
    x = 109,140,083,427.69/150,421.43
  6. Step 6: Final answer
    x = 725,562.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.