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Finding the Third Proportional to 149,672 and 327,496

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Solution

The third proportional to 149,672 and 327,496 is: 716,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,672 : 327,496 = 327,496 : x
  2. Step 2: Convert to fraction form
    149,672/327,496 = 327,496/x
  3. Step 3: Cross multiply
    149,672x = 327,496 × 327,496
  4. Step 4: Simplify right side
    149,672x = 107,253,630,016
  5. Step 5: Solve for x
    x = 107,253,630,016/149,672
  6. Step 6: Final answer
    x = 716,591.15

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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.