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Finding the Third Proportional to 147,169 and 327,649

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Solution

The third proportional to 147,169 and 327,649 is: 729,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,169 : 327,649 = 327,649 : x
  2. Step 2: Convert to fraction form
    147,169/327,649 = 327,649/x
  3. Step 3: Cross multiply
    147,169x = 327,649 × 327,649
  4. Step 4: Simplify right side
    147,169x = 107,353,867,201
  5. Step 5: Solve for x
    x = 107,353,867,201/147,169
  6. Step 6: Final answer
    x = 729,459.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.