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Finding the Third Proportional to 183,072.66 and 396,593.72

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Solution

The third proportional to 183,072.66 and 396,593.72 is: 859,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,072.66 : 396,593.72 = 396,593.72 : x
  2. Step 2: Convert to fraction form
    183,072.66/396,593.72 = 396,593.72/x
  3. Step 3: Cross multiply
    183,072.66x = 396,593.72 × 396,593.72
  4. Step 4: Simplify right side
    183,072.66x = 157,286,577,751.95
  5. Step 5: Solve for x
    x = 157,286,577,751.95/183,072.66
  6. Step 6: Final answer
    x = 859,148.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.