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Finding the Third Proportional to 149,778 and 327,690

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Solution

The third proportional to 149,778 and 327,690 is: 716,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,778 : 327,690 = 327,690 : x
  2. Step 2: Convert to fraction form
    149,778/327,690 = 327,690/x
  3. Step 3: Cross multiply
    149,778x = 327,690 × 327,690
  4. Step 4: Simplify right side
    149,778x = 107,380,736,100
  5. Step 5: Solve for x
    x = 107,380,736,100/149,778
  6. Step 6: Final answer
    x = 716,932.63

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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.