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Finding the Third Proportional to 107,767.75 and 234,189

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Solution

The third proportional to 107,767.75 and 234,189 is: 508,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,767.75 : 234,189 = 234,189 : x
  2. Step 2: Convert to fraction form
    107,767.75/234,189 = 234,189/x
  3. Step 3: Cross multiply
    107,767.75x = 234,189 × 234,189
  4. Step 4: Simplify right side
    107,767.75x = 54,844,487,721
  5. Step 5: Solve for x
    x = 54,844,487,721/107,767.75
  6. Step 6: Final answer
    x = 508,913.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.