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Finding the Third Proportional to 115,328 and 247,904

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Solution

The third proportional to 115,328 and 247,904 is: 532,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,328 : 247,904 = 247,904 : x
  2. Step 2: Convert to fraction form
    115,328/247,904 = 247,904/x
  3. Step 3: Cross multiply
    115,328x = 247,904 × 247,904
  4. Step 4: Simplify right side
    115,328x = 61,456,393,216
  5. Step 5: Solve for x
    x = 61,456,393,216/115,328
  6. Step 6: Final answer
    x = 532,883.54

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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.