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Finding the Third Proportional to 206,585 and 318,990

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Solution

The third proportional to 206,585 and 318,990 is: 492,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585 : 318,990 = 318,990 : x
  2. Step 2: Convert to fraction form
    206,585/318,990 = 318,990/x
  3. Step 3: Cross multiply
    206,585x = 318,990 × 318,990
  4. Step 4: Simplify right side
    206,585x = 101,754,620,100
  5. Step 5: Solve for x
    x = 101,754,620,100/206,585
  6. Step 6: Final answer
    x = 492,555.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.