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Finding the Third Proportional to 139,834.50 and 298,350

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Solution

The third proportional to 139,834.50 and 298,350 is: 636,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,834.50 : 298,350 = 298,350 : x
  2. Step 2: Convert to fraction form
    139,834.50/298,350 = 298,350/x
  3. Step 3: Cross multiply
    139,834.50x = 298,350 × 298,350
  4. Step 4: Simplify right side
    139,834.50x = 89,012,722,500
  5. Step 5: Solve for x
    x = 89,012,722,500/139,834.50
  6. Step 6: Final answer
    x = 636,557.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.