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Finding the Third Proportional to 217,243.50 and 454,348.50

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Solution

The third proportional to 217,243.50 and 454,348.50 is: 950,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,243.50 : 454,348.50 = 454,348.50 : x
  2. Step 2: Convert to fraction form
    217,243.50/454,348.50 = 454,348.50/x
  3. Step 3: Cross multiply
    217,243.50x = 454,348.50 × 454,348.50
  4. Step 4: Simplify right side
    217,243.50x = 206,432,559,452.25
  5. Step 5: Solve for x
    x = 206,432,559,452.25/217,243.50
  6. Step 6: Final answer
    x = 950,235.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.