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Finding the Third Proportional to 205,204.50 and 438,793.88

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Solution

The third proportional to 205,204.50 and 438,793.88 is: 938,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,204.50 : 438,793.88 = 438,793.88 : x
  2. Step 2: Convert to fraction form
    205,204.50/438,793.88 = 438,793.88/x
  3. Step 3: Cross multiply
    205,204.50x = 438,793.88 × 438,793.88
  4. Step 4: Simplify right side
    205,204.50x = 192,540,064,737.52
  5. Step 5: Solve for x
    x = 192,540,064,737.52/205,204.50
  6. Step 6: Final answer
    x = 938,283.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.