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Finding the Third Proportional to 150,360 and 330,488

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Solution

The third proportional to 150,360 and 330,488 is: 726,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,360 : 330,488 = 330,488 : x
  2. Step 2: Convert to fraction form
    150,360/330,488 = 330,488/x
  3. Step 3: Cross multiply
    150,360x = 330,488 × 330,488
  4. Step 4: Simplify right side
    150,360x = 109,222,318,144
  5. Step 5: Solve for x
    x = 109,222,318,144/150,360
  6. Step 6: Final answer
    x = 726,405.41

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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.