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Finding the Third Proportional to 109,154 and 234,908

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Solution

The third proportional to 109,154 and 234,908 is: 505,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,154 : 234,908 = 234,908 : x
  2. Step 2: Convert to fraction form
    109,154/234,908 = 234,908/x
  3. Step 3: Cross multiply
    109,154x = 234,908 × 234,908
  4. Step 4: Simplify right side
    109,154x = 55,181,768,464
  5. Step 5: Solve for x
    x = 55,181,768,464/109,154
  6. Step 6: Final answer
    x = 505,540.51

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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.