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Finding the Third Proportional to 149,884 and 327,376

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Solution

The third proportional to 149,884 and 327,376 is: 715,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,884 : 327,376 = 327,376 : x
  2. Step 2: Convert to fraction form
    149,884/327,376 = 327,376/x
  3. Step 3: Cross multiply
    149,884x = 327,376 × 327,376
  4. Step 4: Simplify right side
    149,884x = 107,175,045,376
  5. Step 5: Solve for x
    x = 107,175,045,376/149,884
  6. Step 6: Final answer
    x = 715,053.28

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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.