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Finding the Third Proportional to 205,884 and 299,443

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Solution

The third proportional to 205,884 and 299,443 is: 435,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,884 : 299,443 = 299,443 : x
  2. Step 2: Convert to fraction form
    205,884/299,443 = 299,443/x
  3. Step 3: Cross multiply
    205,884x = 299,443 × 299,443
  4. Step 4: Simplify right side
    205,884x = 89,666,110,249
  5. Step 5: Solve for x
    x = 89,666,110,249/205,884
  6. Step 6: Final answer
    x = 435,517.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.