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Finding the Third Proportional to 206,518.50 and 424,153.50

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Solution

The third proportional to 206,518.50 and 424,153.50 is: 871,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.50 : 424,153.50 = 424,153.50 : x
  2. Step 2: Convert to fraction form
    206,518.50/424,153.50 = 424,153.50/x
  3. Step 3: Cross multiply
    206,518.50x = 424,153.50 × 424,153.50
  4. Step 4: Simplify right side
    206,518.50x = 179,906,191,562.25
  5. Step 5: Solve for x
    x = 179,906,191,562.25/206,518.50
  6. Step 6: Final answer
    x = 871,138.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.