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Finding the Third Proportional to 205,740 and 440,016

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Solution

The third proportional to 205,740 and 440,016 is: 941,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,740 : 440,016 = 440,016 : x
  2. Step 2: Convert to fraction form
    205,740/440,016 = 440,016/x
  3. Step 3: Cross multiply
    205,740x = 440,016 × 440,016
  4. Step 4: Simplify right side
    205,740x = 193,614,080,256
  5. Step 5: Solve for x
    x = 193,614,080,256/205,740
  6. Step 6: Final answer
    x = 941,061.92

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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.