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Finding the Third Proportional to 186,178.50 and 287,694

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Solution

The third proportional to 186,178.50 and 287,694 is: 444,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,178.50 : 287,694 = 287,694 : x
  2. Step 2: Convert to fraction form
    186,178.50/287,694 = 287,694/x
  3. Step 3: Cross multiply
    186,178.50x = 287,694 × 287,694
  4. Step 4: Simplify right side
    186,178.50x = 82,767,837,636
  5. Step 5: Solve for x
    x = 82,767,837,636/186,178.50
  6. Step 6: Final answer
    x = 444,561.74

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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.