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Finding the Third Proportional to 186,000 and 270,356

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Solution

The third proportional to 186,000 and 270,356 is: 392,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,000 : 270,356 = 270,356 : x
  2. Step 2: Convert to fraction form
    186,000/270,356 = 270,356/x
  3. Step 3: Cross multiply
    186,000x = 270,356 × 270,356
  4. Step 4: Simplify right side
    186,000x = 73,092,366,736
  5. Step 5: Solve for x
    x = 73,092,366,736/186,000
  6. Step 6: Final answer
    x = 392,969.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.