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Finding the Third Proportional to 150,916 and 330,632

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Solution

The third proportional to 150,916 and 330,632 is: 724,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916 : 330,632 = 330,632 : x
  2. Step 2: Convert to fraction form
    150,916/330,632 = 330,632/x
  3. Step 3: Cross multiply
    150,916x = 330,632 × 330,632
  4. Step 4: Simplify right side
    150,916x = 109,317,519,424
  5. Step 5: Solve for x
    x = 109,317,519,424/150,916
  6. Step 6: Final answer
    x = 724,360.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.