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Finding the Third Proportional to 250,663.50 and 541,278

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Solution

The third proportional to 250,663.50 and 541,278 is: 1,168,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,663.50 : 541,278 = 541,278 : x
  2. Step 2: Convert to fraction form
    250,663.50/541,278 = 541,278/x
  3. Step 3: Cross multiply
    250,663.50x = 541,278 × 541,278
  4. Step 4: Simplify right side
    250,663.50x = 292,981,873,284
  5. Step 5: Solve for x
    x = 292,981,873,284/250,663.50
  6. Step 6: Final answer
    x = 1,168,825.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.