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Finding the Third Proportional to 107,780 and 236,744

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Solution

The third proportional to 107,780 and 236,744 is: 520,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,780 : 236,744 = 236,744 : x
  2. Step 2: Convert to fraction form
    107,780/236,744 = 236,744/x
  3. Step 3: Cross multiply
    107,780x = 236,744 × 236,744
  4. Step 4: Simplify right side
    107,780x = 56,047,721,536
  5. Step 5: Solve for x
    x = 56,047,721,536/107,780
  6. Step 6: Final answer
    x = 520,019.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.