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Finding the Third Proportional to 134,676.70 and 200,847.33

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Solution

The third proportional to 134,676.70 and 200,847.33 is: 299,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,676.70 : 200,847.33 = 200,847.33 : x
  2. Step 2: Convert to fraction form
    134,676.70/200,847.33 = 200,847.33/x
  3. Step 3: Cross multiply
    134,676.70x = 200,847.33 × 200,847.33
  4. Step 4: Simplify right side
    134,676.70x = 40,339,650,391.79
  5. Step 5: Solve for x
    x = 40,339,650,391.79/134,676.70
  6. Step 6: Final answer
    x = 299,529.55

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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.