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Finding the Third Proportional to 195,778.50 and 311,524.50

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Solution

The third proportional to 195,778.50 and 311,524.50 is: 495,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,778.50 : 311,524.50 = 311,524.50 : x
  2. Step 2: Convert to fraction form
    195,778.50/311,524.50 = 311,524.50/x
  3. Step 3: Cross multiply
    195,778.50x = 311,524.50 × 311,524.50
  4. Step 4: Simplify right side
    195,778.50x = 97,047,514,100.25
  5. Step 5: Solve for x
    x = 97,047,514,100.25/195,778.50
  6. Step 6: Final answer
    x = 495,700.57

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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.