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Finding the Third Proportional to 115,544 and 248,276

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Solution

The third proportional to 115,544 and 248,276 is: 533,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,544 : 248,276 = 248,276 : x
  2. Step 2: Convert to fraction form
    115,544/248,276 = 248,276/x
  3. Step 3: Cross multiply
    115,544x = 248,276 × 248,276
  4. Step 4: Simplify right side
    115,544x = 61,640,972,176
  5. Step 5: Solve for x
    x = 61,640,972,176/115,544
  6. Step 6: Final answer
    x = 533,484.84

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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.