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Finding the Third Proportional to 149,739 and 327,612

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Solution

The third proportional to 149,739 and 327,612 is: 716,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,739 : 327,612 = 327,612 : x
  2. Step 2: Convert to fraction form
    149,739/327,612 = 327,612/x
  3. Step 3: Cross multiply
    149,739x = 327,612 × 327,612
  4. Step 4: Simplify right side
    149,739x = 107,329,622,544
  5. Step 5: Solve for x
    x = 107,329,622,544/149,739
  6. Step 6: Final answer
    x = 716,778.01

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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.