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Finding the Third Proportional to 139,682 and 216,241

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Solution

The third proportional to 139,682 and 216,241 is: 334,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,682 : 216,241 = 216,241 : x
  2. Step 2: Convert to fraction form
    139,682/216,241 = 216,241/x
  3. Step 3: Cross multiply
    139,682x = 216,241 × 216,241
  4. Step 4: Simplify right side
    139,682x = 46,760,170,081
  5. Step 5: Solve for x
    x = 46,760,170,081/139,682
  6. Step 6: Final answer
    x = 334,761.60

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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.