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Finding the Third Proportional to 149,747 and 327,251

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Solution

The third proportional to 149,747 and 327,251 is: 715,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,747 : 327,251 = 327,251 : x
  2. Step 2: Convert to fraction form
    149,747/327,251 = 327,251/x
  3. Step 3: Cross multiply
    149,747x = 327,251 × 327,251
  4. Step 4: Simplify right side
    149,747x = 107,093,217,001
  5. Step 5: Solve for x
    x = 107,093,217,001/149,747
  6. Step 6: Final answer
    x = 715,161.02

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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.