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Finding the Third Proportional to 115,538 and 245,652

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Solution

The third proportional to 115,538 and 245,652 is: 522,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,538 : 245,652 = 245,652 : x
  2. Step 2: Convert to fraction form
    115,538/245,652 = 245,652/x
  3. Step 3: Cross multiply
    115,538x = 245,652 × 245,652
  4. Step 4: Simplify right side
    115,538x = 60,344,905,104
  5. Step 5: Solve for x
    x = 60,344,905,104/115,538
  6. Step 6: Final answer
    x = 522,294.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.