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Finding the Third Proportional to 83,315.25 and 183,249

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Solution

The third proportional to 83,315.25 and 183,249 is: 403,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315.25 : 183,249 = 183,249 : x
  2. Step 2: Convert to fraction form
    83,315.25/183,249 = 183,249/x
  3. Step 3: Cross multiply
    83,315.25x = 183,249 × 183,249
  4. Step 4: Simplify right side
    83,315.25x = 33,580,196,001
  5. Step 5: Solve for x
    x = 33,580,196,001/83,315.25
  6. Step 6: Final answer
    x = 403,049.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.