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Finding the Third Proportional to 139,684 and 216,245

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Solution

The third proportional to 139,684 and 216,245 is: 334,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,684 : 216,245 = 216,245 : x
  2. Step 2: Convert to fraction form
    139,684/216,245 = 216,245/x
  3. Step 3: Cross multiply
    139,684x = 216,245 × 216,245
  4. Step 4: Simplify right side
    139,684x = 46,761,900,025
  5. Step 5: Solve for x
    x = 46,761,900,025/139,684
  6. Step 6: Final answer
    x = 334,769.19

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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.