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Finding the Third Proportional to 115,295 and 248,378

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Solution

The third proportional to 115,295 and 248,378 is: 535,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,295 : 248,378 = 248,378 : x
  2. Step 2: Convert to fraction form
    115,295/248,378 = 248,378/x
  3. Step 3: Cross multiply
    115,295x = 248,378 × 248,378
  4. Step 4: Simplify right side
    115,295x = 61,691,630,884
  5. Step 5: Solve for x
    x = 61,691,630,884/115,295
  6. Step 6: Final answer
    x = 535,076.38

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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.