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Finding the Third Proportional to 135,228 and 195,864

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Solution

The third proportional to 135,228 and 195,864 is: 283,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,228 : 195,864 = 195,864 : x
  2. Step 2: Convert to fraction form
    135,228/195,864 = 195,864/x
  3. Step 3: Cross multiply
    135,228x = 195,864 × 195,864
  4. Step 4: Simplify right side
    135,228x = 38,362,706,496
  5. Step 5: Solve for x
    x = 38,362,706,496/135,228
  6. Step 6: Final answer
    x = 283,689.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.