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Finding the Third Proportional to 83,782.50 and 182,307

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Solution

The third proportional to 83,782.50 and 182,307 is: 396,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.50 : 182,307 = 182,307 : x
  2. Step 2: Convert to fraction form
    83,782.50/182,307 = 182,307/x
  3. Step 3: Cross multiply
    83,782.50x = 182,307 × 182,307
  4. Step 4: Simplify right side
    83,782.50x = 33,235,842,249
  5. Step 5: Solve for x
    x = 33,235,842,249/83,782.50
  6. Step 6: Final answer
    x = 396,691.94

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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.