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Finding the Third Proportional to 186,171.75 and 287,682.75

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Solution

The third proportional to 186,171.75 and 287,682.75 is: 444,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,171.75 : 287,682.75 = 287,682.75 : x
  2. Step 2: Convert to fraction form
    186,171.75/287,682.75 = 287,682.75/x
  3. Step 3: Cross multiply
    186,171.75x = 287,682.75 × 287,682.75
  4. Step 4: Simplify right side
    186,171.75x = 82,761,364,647.56
  5. Step 5: Solve for x
    x = 82,761,364,647.56/186,171.75
  6. Step 6: Final answer
    x = 444,543.09

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