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Finding the Third Proportional to 150,579 and 225,859.50

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Solution

The third proportional to 150,579 and 225,859.50 is: 338,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,579 : 225,859.50 = 225,859.50 : x
  2. Step 2: Convert to fraction form
    150,579/225,859.50 = 225,859.50/x
  3. Step 3: Cross multiply
    150,579x = 225,859.50 × 225,859.50
  4. Step 4: Simplify right side
    150,579x = 51,012,513,740.25
  5. Step 5: Solve for x
    x = 51,012,513,740.25/150,579
  6. Step 6: Final answer
    x = 338,775.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.