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Finding the Third Proportional to 84,310.50 and 183,493

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Solution

The third proportional to 84,310.50 and 183,493 is: 399,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,310.50 : 183,493 = 183,493 : x
  2. Step 2: Convert to fraction form
    84,310.50/183,493 = 183,493/x
  3. Step 3: Cross multiply
    84,310.50x = 183,493 × 183,493
  4. Step 4: Simplify right side
    84,310.50x = 33,669,681,049
  5. Step 5: Solve for x
    x = 33,669,681,049/84,310.50
  6. Step 6: Final answer
    x = 399,353.36

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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.