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Finding the Third Proportional to 109,876 and 235,304

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Solution

The third proportional to 109,876 and 235,304 is: 503,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,876 : 235,304 = 235,304 : x
  2. Step 2: Convert to fraction form
    109,876/235,304 = 235,304/x
  3. Step 3: Cross multiply
    109,876x = 235,304 × 235,304
  4. Step 4: Simplify right side
    109,876x = 55,367,972,416
  5. Step 5: Solve for x
    x = 55,367,972,416/109,876
  6. Step 6: Final answer
    x = 503,913.25

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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.