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Finding the Third Proportional to 135,224.44 and 195,858

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Solution

The third proportional to 135,224.44 and 195,858 is: 283,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,224.44 : 195,858 = 195,858 : x
  2. Step 2: Convert to fraction form
    135,224.44/195,858 = 195,858/x
  3. Step 3: Cross multiply
    135,224.44x = 195,858 × 195,858
  4. Step 4: Simplify right side
    135,224.44x = 38,360,356,164
  5. Step 5: Solve for x
    x = 38,360,356,164/135,224.44
  6. Step 6: Final answer
    x = 283,679.17

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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.