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Finding the Third Proportional to 104,271 and 229,278

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Solution

The third proportional to 104,271 and 229,278 is: 504,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,271 : 229,278 = 229,278 : x
  2. Step 2: Convert to fraction form
    104,271/229,278 = 229,278/x
  3. Step 3: Cross multiply
    104,271x = 229,278 × 229,278
  4. Step 4: Simplify right side
    104,271x = 52,568,401,284
  5. Step 5: Solve for x
    x = 52,568,401,284/104,271
  6. Step 6: Final answer
    x = 504,151.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.