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Finding the Third Proportional to 143,182.50 and 323,493

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Solution

The third proportional to 143,182.50 and 323,493 is: 730,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,182.50 : 323,493 = 323,493 : x
  2. Step 2: Convert to fraction form
    143,182.50/323,493 = 323,493/x
  3. Step 3: Cross multiply
    143,182.50x = 323,493 × 323,493
  4. Step 4: Simplify right side
    143,182.50x = 104,647,721,049
  5. Step 5: Solve for x
    x = 104,647,721,049/143,182.50
  6. Step 6: Final answer
    x = 730,869.49

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.