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Finding the Third Proportional to 195,782 and 311,529

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Solution

The third proportional to 195,782 and 311,529 is: 495,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,782 : 311,529 = 311,529 : x
  2. Step 2: Convert to fraction form
    195,782/311,529 = 311,529/x
  3. Step 3: Cross multiply
    195,782x = 311,529 × 311,529
  4. Step 4: Simplify right side
    195,782x = 97,050,317,841
  5. Step 5: Solve for x
    x = 97,050,317,841/195,782
  6. Step 6: Final answer
    x = 495,706.03

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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.