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Finding the Third Proportional to 195,786.38 and 311,536.13

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Solution

The third proportional to 195,786.38 and 311,536.13 is: 495,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,786.38 : 311,536.13 = 311,536.13 : x
  2. Step 2: Convert to fraction form
    195,786.38/311,536.13 = 311,536.13/x
  3. Step 3: Cross multiply
    195,786.38x = 311,536.13 × 311,536.13
  4. Step 4: Simplify right side
    195,786.38x = 97,054,757,180.02
  5. Step 5: Solve for x
    x = 97,054,757,180.02/195,786.38
  6. Step 6: Final answer
    x = 495,717.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.