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Finding the Third Proportional to 149,612 and 327,377

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Solution

The third proportional to 149,612 and 327,377 is: 716,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,612 : 327,377 = 327,377 : x
  2. Step 2: Convert to fraction form
    149,612/327,377 = 327,377/x
  3. Step 3: Cross multiply
    149,612x = 327,377 × 327,377
  4. Step 4: Simplify right side
    149,612x = 107,175,700,129
  5. Step 5: Solve for x
    x = 107,175,700,129/149,612
  6. Step 6: Final answer
    x = 716,357.65

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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.