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Finding the Third Proportional to 205,866 and 440,270

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Solution

The third proportional to 205,866 and 440,270 is: 941,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866 : 440,270 = 440,270 : x
  2. Step 2: Convert to fraction form
    205,866/440,270 = 440,270/x
  3. Step 3: Cross multiply
    205,866x = 440,270 × 440,270
  4. Step 4: Simplify right side
    205,866x = 193,837,672,900
  5. Step 5: Solve for x
    x = 193,837,672,900/205,866
  6. Step 6: Final answer
    x = 941,572.06

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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.