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Finding the Third Proportional to 134,682.19 and 200,855.25

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Solution

The third proportional to 134,682.19 and 200,855.25 is: 299,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,682.19 : 200,855.25 = 200,855.25 : x
  2. Step 2: Convert to fraction form
    134,682.19/200,855.25 = 200,855.25/x
  3. Step 3: Cross multiply
    134,682.19x = 200,855.25 × 200,855.25
  4. Step 4: Simplify right side
    134,682.19x = 40,342,831,452.56
  5. Step 5: Solve for x
    x = 40,342,831,452.56/134,682.19
  6. Step 6: Final answer
    x = 299,540.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.