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Finding the Third Proportional to 206,808 and 311,940

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Solution

The third proportional to 206,808 and 311,940 is: 470,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808 : 311,940 = 311,940 : x
  2. Step 2: Convert to fraction form
    206,808/311,940 = 311,940/x
  3. Step 3: Cross multiply
    206,808x = 311,940 × 311,940
  4. Step 4: Simplify right side
    206,808x = 97,306,563,600
  5. Step 5: Solve for x
    x = 97,306,563,600/206,808
  6. Step 6: Final answer
    x = 470,516.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.