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Finding the Third Proportional to 115,456 and 248,165

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Solution

The third proportional to 115,456 and 248,165 is: 533,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,456 : 248,165 = 248,165 : x
  2. Step 2: Convert to fraction form
    115,456/248,165 = 248,165/x
  3. Step 3: Cross multiply
    115,456x = 248,165 × 248,165
  4. Step 4: Simplify right side
    115,456x = 61,585,867,225
  5. Step 5: Solve for x
    x = 61,585,867,225/115,456
  6. Step 6: Final answer
    x = 533,414.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.