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Finding the Third Proportional to 200,808 and 311,112

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Solution

The third proportional to 200,808 and 311,112 is: 482,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808 : 311,112 = 311,112 : x
  2. Step 2: Convert to fraction form
    200,808/311,112 = 311,112/x
  3. Step 3: Cross multiply
    200,808x = 311,112 × 311,112
  4. Step 4: Simplify right side
    200,808x = 96,790,676,544
  5. Step 5: Solve for x
    x = 96,790,676,544/200,808
  6. Step 6: Final answer
    x = 482,006.08

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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.