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Finding the Third Proportional to 195,784 and 311,180

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Solution

The third proportional to 195,784 and 311,180 is: 494,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,784 : 311,180 = 311,180 : x
  2. Step 2: Convert to fraction form
    195,784/311,180 = 311,180/x
  3. Step 3: Cross multiply
    195,784x = 311,180 × 311,180
  4. Step 4: Simplify right side
    195,784x = 96,832,992,400
  5. Step 5: Solve for x
    x = 96,832,992,400/195,784
  6. Step 6: Final answer
    x = 494,590.94

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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.