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Finding the Third Proportional to 195,822 and 311,589

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Solution

The third proportional to 195,822 and 311,589 is: 495,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,822 : 311,589 = 311,589 : x
  2. Step 2: Convert to fraction form
    195,822/311,589 = 311,589/x
  3. Step 3: Cross multiply
    195,822x = 311,589 × 311,589
  4. Step 4: Simplify right side
    195,822x = 97,087,704,921
  5. Step 5: Solve for x
    x = 97,087,704,921/195,822
  6. Step 6: Final answer
    x = 495,795.70

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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.