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Finding the Third Proportional to 147,936 and 323,493

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Solution

The third proportional to 147,936 and 323,493 is: 707,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936 : 323,493 = 323,493 : x
  2. Step 2: Convert to fraction form
    147,936/323,493 = 323,493/x
  3. Step 3: Cross multiply
    147,936x = 323,493 × 323,493
  4. Step 4: Simplify right side
    147,936x = 104,647,721,049
  5. Step 5: Solve for x
    x = 104,647,721,049/147,936
  6. Step 6: Final answer
    x = 707,385.09

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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.