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Finding the Third Proportional to 83,940.75 and 182,640.38

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Solution

The third proportional to 83,940.75 and 182,640.38 is: 397,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,940.75 : 182,640.38 = 182,640.38 : x
  2. Step 2: Convert to fraction form
    83,940.75/182,640.38 = 182,640.38/x
  3. Step 3: Cross multiply
    83,940.75x = 182,640.38 × 182,640.38
  4. Step 4: Simplify right side
    83,940.75x = 33,357,506,580.14
  5. Step 5: Solve for x
    x = 33,357,506,580.14/83,940.75
  6. Step 6: Final answer
    x = 397,393.48

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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.