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Finding the Third Proportional to 186,854 and 287,193

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Solution

The third proportional to 186,854 and 287,193 is: 441,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854 : 287,193 = 287,193 : x
  2. Step 2: Convert to fraction form
    186,854/287,193 = 287,193/x
  3. Step 3: Cross multiply
    186,854x = 287,193 × 287,193
  4. Step 4: Simplify right side
    186,854x = 82,479,819,249
  5. Step 5: Solve for x
    x = 82,479,819,249/186,854
  6. Step 6: Final answer
    x = 441,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.