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Finding the Third Proportional to 139,414.50 and 221,584.50

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Solution

The third proportional to 139,414.50 and 221,584.50 is: 352,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,414.50 : 221,584.50 = 221,584.50 : x
  2. Step 2: Convert to fraction form
    139,414.50/221,584.50 = 221,584.50/x
  3. Step 3: Cross multiply
    139,414.50x = 221,584.50 × 221,584.50
  4. Step 4: Simplify right side
    139,414.50x = 49,099,690,640.25
  5. Step 5: Solve for x
    x = 49,099,690,640.25/139,414.50
  6. Step 6: Final answer
    x = 352,184.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.