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Finding the Third Proportional to 109,911 and 235,374

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Solution

The third proportional to 109,911 and 235,374 is: 504,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,911 : 235,374 = 235,374 : x
  2. Step 2: Convert to fraction form
    109,911/235,374 = 235,374/x
  3. Step 3: Cross multiply
    109,911x = 235,374 × 235,374
  4. Step 4: Simplify right side
    109,911x = 55,400,919,876
  5. Step 5: Solve for x
    x = 55,400,919,876/109,911
  6. Step 6: Final answer
    x = 504,052.55

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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.