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Finding the Third Proportional to 116,778 and 241,860

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Solution

The third proportional to 116,778 and 241,860 is: 500,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,778 : 241,860 = 241,860 : x
  2. Step 2: Convert to fraction form
    116,778/241,860 = 241,860/x
  3. Step 3: Cross multiply
    116,778x = 241,860 × 241,860
  4. Step 4: Simplify right side
    116,778x = 58,496,259,600
  5. Step 5: Solve for x
    x = 58,496,259,600/116,778
  6. Step 6: Final answer
    x = 500,918.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.