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Finding the Third Proportional to 117,348 and 248,616

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Solution

The third proportional to 117,348 and 248,616 is: 526,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348 : 248,616 = 248,616 : x
  2. Step 2: Convert to fraction form
    117,348/248,616 = 248,616/x
  3. Step 3: Cross multiply
    117,348x = 248,616 × 248,616
  4. Step 4: Simplify right side
    117,348x = 61,809,915,456
  5. Step 5: Solve for x
    x = 61,809,915,456/117,348
  6. Step 6: Final answer
    x = 526,723.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.