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Finding the Third Proportional to 199,612.50 and 298,630.50

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Solution

The third proportional to 199,612.50 and 298,630.50 is: 446,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,612.50 : 298,630.50 = 298,630.50 : x
  2. Step 2: Convert to fraction form
    199,612.50/298,630.50 = 298,630.50/x
  3. Step 3: Cross multiply
    199,612.50x = 298,630.50 × 298,630.50
  4. Step 4: Simplify right side
    199,612.50x = 89,180,175,530.25
  5. Step 5: Solve for x
    x = 89,180,175,530.25/199,612.50
  6. Step 6: Final answer
    x = 446,766.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.