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Finding the Third Proportional to 135,676 and 199,448.75

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Solution

The third proportional to 135,676 and 199,448.75 is: 293,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,676 : 199,448.75 = 199,448.75 : x
  2. Step 2: Convert to fraction form
    135,676/199,448.75 = 199,448.75/x
  3. Step 3: Cross multiply
    135,676x = 199,448.75 × 199,448.75
  4. Step 4: Simplify right side
    135,676x = 39,779,803,876.56
  5. Step 5: Solve for x
    x = 39,779,803,876.56/135,676
  6. Step 6: Final answer
    x = 293,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.