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Finding the Third Proportional to 186,178.50 and 287,691.75

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Solution

The third proportional to 186,178.50 and 287,691.75 is: 444,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,178.50 : 287,691.75 = 287,691.75 : x
  2. Step 2: Convert to fraction form
    186,178.50/287,691.75 = 287,691.75/x
  3. Step 3: Cross multiply
    186,178.50x = 287,691.75 × 287,691.75
  4. Step 4: Simplify right side
    186,178.50x = 82,766,543,018.06
  5. Step 5: Solve for x
    x = 82,766,543,018.06/186,178.50
  6. Step 6: Final answer
    x = 444,554.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.