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Finding the Third Proportional to 205,861.50 and 433,863

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Solution

The third proportional to 205,861.50 and 433,863 is: 914,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,861.50 : 433,863 = 433,863 : x
  2. Step 2: Convert to fraction form
    205,861.50/433,863 = 433,863/x
  3. Step 3: Cross multiply
    205,861.50x = 433,863 × 433,863
  4. Step 4: Simplify right side
    205,861.50x = 188,237,102,769
  5. Step 5: Solve for x
    x = 188,237,102,769/205,861.50
  6. Step 6: Final answer
    x = 914,387.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.