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Finding the Third Proportional to 109,874 and 236,548

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Solution

The third proportional to 109,874 and 236,548 is: 509,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874 : 236,548 = 236,548 : x
  2. Step 2: Convert to fraction form
    109,874/236,548 = 236,548/x
  3. Step 3: Cross multiply
    109,874x = 236,548 × 236,548
  4. Step 4: Simplify right side
    109,874x = 55,954,956,304
  5. Step 5: Solve for x
    x = 55,954,956,304/109,874
  6. Step 6: Final answer
    x = 509,264.76

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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.