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Finding the Third Proportional to 135,184 and 195,807

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Solution

The third proportional to 135,184 and 195,807 is: 283,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,184 : 195,807 = 195,807 : x
  2. Step 2: Convert to fraction form
    135,184/195,807 = 195,807/x
  3. Step 3: Cross multiply
    135,184x = 195,807 × 195,807
  4. Step 4: Simplify right side
    135,184x = 38,340,381,249
  5. Step 5: Solve for x
    x = 38,340,381,249/135,184
  6. Step 6: Final answer
    x = 283,616.27

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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.