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Finding the Third Proportional to 107,778 and 234,857

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Solution

The third proportional to 107,778 and 234,857 is: 511,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,778 : 234,857 = 234,857 : x
  2. Step 2: Convert to fraction form
    107,778/234,857 = 234,857/x
  3. Step 3: Cross multiply
    107,778x = 234,857 × 234,857
  4. Step 4: Simplify right side
    107,778x = 55,157,810,449
  5. Step 5: Solve for x
    x = 55,157,810,449/107,778
  6. Step 6: Final answer
    x = 511,772.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.