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Finding the Third Proportional to 101,257.50 and 234,419.25

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Solution

The third proportional to 101,257.50 and 234,419.25 is: 542,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,257.50 : 234,419.25 = 234,419.25 : x
  2. Step 2: Convert to fraction form
    101,257.50/234,419.25 = 234,419.25/x
  3. Step 3: Cross multiply
    101,257.50x = 234,419.25 × 234,419.25
  4. Step 4: Simplify right side
    101,257.50x = 54,952,384,770.56
  5. Step 5: Solve for x
    x = 54,952,384,770.56/101,257.50
  6. Step 6: Final answer
    x = 542,699.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.