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Finding the Third Proportional to 109,357 and 234,995

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Solution

The third proportional to 109,357 and 234,995 is: 504,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,357 : 234,995 = 234,995 : x
  2. Step 2: Convert to fraction form
    109,357/234,995 = 234,995/x
  3. Step 3: Cross multiply
    109,357x = 234,995 × 234,995
  4. Step 4: Simplify right side
    109,357x = 55,222,650,025
  5. Step 5: Solve for x
    x = 55,222,650,025/109,357
  6. Step 6: Final answer
    x = 504,975.90

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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.