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Finding the Third Proportional to 205,000.50 and 440,103

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Solution

The third proportional to 205,000.50 and 440,103 is: 944,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.50 : 440,103 = 440,103 : x
  2. Step 2: Convert to fraction form
    205,000.50/440,103 = 440,103/x
  3. Step 3: Cross multiply
    205,000.50x = 440,103 × 440,103
  4. Step 4: Simplify right side
    205,000.50x = 193,690,650,609
  5. Step 5: Solve for x
    x = 193,690,650,609/205,000.50
  6. Step 6: Final answer
    x = 944,830.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.