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Finding the Third Proportional to 110,351 and 236,254

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Solution

The third proportional to 110,351 and 236,254 is: 505,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,351 : 236,254 = 236,254 : x
  2. Step 2: Convert to fraction form
    110,351/236,254 = 236,254/x
  3. Step 3: Cross multiply
    110,351x = 236,254 × 236,254
  4. Step 4: Simplify right side
    110,351x = 55,815,952,516
  5. Step 5: Solve for x
    x = 55,815,952,516/110,351
  6. Step 6: Final answer
    x = 505,803.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.