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Finding the Third Proportional to 150,437 and 330,399

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Solution

The third proportional to 150,437 and 330,399 is: 725,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,437 : 330,399 = 330,399 : x
  2. Step 2: Convert to fraction form
    150,437/330,399 = 330,399/x
  3. Step 3: Cross multiply
    150,437x = 330,399 × 330,399
  4. Step 4: Simplify right side
    150,437x = 109,163,499,201
  5. Step 5: Solve for x
    x = 109,163,499,201/150,437
  6. Step 6: Final answer
    x = 725,642.62

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