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Finding the Third Proportional to 194,650.88 and 261,903.38

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Solution

The third proportional to 194,650.88 and 261,903.38 is: 352,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,650.88 : 261,903.38 = 261,903.38 : x
  2. Step 2: Convert to fraction form
    194,650.88/261,903.38 = 261,903.38/x
  3. Step 3: Cross multiply
    194,650.88x = 261,903.38 × 261,903.38
  4. Step 4: Simplify right side
    194,650.88x = 68,593,377,836.39
  5. Step 5: Solve for x
    x = 68,593,377,836.39/194,650.88
  6. Step 6: Final answer
    x = 352,391.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.