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Finding the Third Proportional to 150,352 and 330,464

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Solution

The third proportional to 150,352 and 330,464 is: 726,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,352 : 330,464 = 330,464 : x
  2. Step 2: Convert to fraction form
    150,352/330,464 = 330,464/x
  3. Step 3: Cross multiply
    150,352x = 330,464 × 330,464
  4. Step 4: Simplify right side
    150,352x = 109,206,455,296
  5. Step 5: Solve for x
    x = 109,206,455,296/150,352
  6. Step 6: Final answer
    x = 726,338.56

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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.