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Finding the Third Proportional to 186,326.25 and 263,397

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Solution

The third proportional to 186,326.25 and 263,397 is: 372,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,326.25 : 263,397 = 263,397 : x
  2. Step 2: Convert to fraction form
    186,326.25/263,397 = 263,397/x
  3. Step 3: Cross multiply
    186,326.25x = 263,397 × 263,397
  4. Step 4: Simplify right side
    186,326.25x = 69,377,979,609
  5. Step 5: Solve for x
    x = 69,377,979,609/186,326.25
  6. Step 6: Final answer
    x = 372,346.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.