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Finding the Third Proportional to 94,517.25 and 206,368.50

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Solution

The third proportional to 94,517.25 and 206,368.50 is: 450,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,517.25 : 206,368.50 = 206,368.50 : x
  2. Step 2: Convert to fraction form
    94,517.25/206,368.50 = 206,368.50/x
  3. Step 3: Cross multiply
    94,517.25x = 206,368.50 × 206,368.50
  4. Step 4: Simplify right side
    94,517.25x = 42,587,957,792.25
  5. Step 5: Solve for x
    x = 42,587,957,792.25/94,517.25
  6. Step 6: Final answer
    x = 450,583.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.