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Finding the Third Proportional to 136,682 and 287,186

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Solution

The third proportional to 136,682 and 287,186 is: 603,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,682 : 287,186 = 287,186 : x
  2. Step 2: Convert to fraction form
    136,682/287,186 = 287,186/x
  3. Step 3: Cross multiply
    136,682x = 287,186 × 287,186
  4. Step 4: Simplify right side
    136,682x = 82,475,798,596
  5. Step 5: Solve for x
    x = 82,475,798,596/136,682
  6. Step 6: Final answer
    x = 603,413.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.