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Finding the Third Proportional to 149,729.63 and 327,115.13

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Solution

The third proportional to 149,729.63 and 327,115.13 is: 714,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,729.63 : 327,115.13 = 327,115.13 : x
  2. Step 2: Convert to fraction form
    149,729.63/327,115.13 = 327,115.13/x
  3. Step 3: Cross multiply
    149,729.63x = 327,115.13 × 327,115.13
  4. Step 4: Simplify right side
    149,729.63x = 107,004,305,003.77
  5. Step 5: Solve for x
    x = 107,004,305,003.77/149,729.63
  6. Step 6: Final answer
    x = 714,650.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.