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Finding the Third Proportional to 150,435.50 and 330,397

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Solution

The third proportional to 150,435.50 and 330,397 is: 725,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,435.50 : 330,397 = 330,397 : x
  2. Step 2: Convert to fraction form
    150,435.50/330,397 = 330,397/x
  3. Step 3: Cross multiply
    150,435.50x = 330,397 × 330,397
  4. Step 4: Simplify right side
    150,435.50x = 109,162,177,609
  5. Step 5: Solve for x
    x = 109,162,177,609/150,435.50
  6. Step 6: Final answer
    x = 725,641.07

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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.