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Finding the Third Proportional to 107,759 and 234,400

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Solution

The third proportional to 107,759 and 234,400 is: 509,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,759 : 234,400 = 234,400 : x
  2. Step 2: Convert to fraction form
    107,759/234,400 = 234,400/x
  3. Step 3: Cross multiply
    107,759x = 234,400 × 234,400
  4. Step 4: Simplify right side
    107,759x = 54,943,360,000
  5. Step 5: Solve for x
    x = 54,943,360,000/107,759
  6. Step 6: Final answer
    x = 509,872.59

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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.