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Finding the Third Proportional to 150,438.75 and 330,401.25

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Solution

The third proportional to 150,438.75 and 330,401.25 is: 725,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,438.75 : 330,401.25 = 330,401.25 : x
  2. Step 2: Convert to fraction form
    150,438.75/330,401.25 = 330,401.25/x
  3. Step 3: Cross multiply
    150,438.75x = 330,401.25 × 330,401.25
  4. Step 4: Simplify right side
    150,438.75x = 109,164,986,001.56
  5. Step 5: Solve for x
    x = 109,164,986,001.56/150,438.75
  6. Step 6: Final answer
    x = 725,644.06

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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.