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Finding the Third Proportional to 200,848 and 311,190

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Solution

The third proportional to 200,848 and 311,190 is: 482,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,848 : 311,190 = 311,190 : x
  2. Step 2: Convert to fraction form
    200,848/311,190 = 311,190/x
  3. Step 3: Cross multiply
    200,848x = 311,190 × 311,190
  4. Step 4: Simplify right side
    200,848x = 96,839,216,100
  5. Step 5: Solve for x
    x = 96,839,216,100/200,848
  6. Step 6: Final answer
    x = 482,151.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.