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Finding the Third Proportional to 206,816 and 311,454

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Solution

The third proportional to 206,816 and 311,454 is: 469,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816 : 311,454 = 311,454 : x
  2. Step 2: Convert to fraction form
    206,816/311,454 = 311,454/x
  3. Step 3: Cross multiply
    206,816x = 311,454 × 311,454
  4. Step 4: Simplify right side
    206,816x = 97,003,594,116
  5. Step 5: Solve for x
    x = 97,003,594,116/206,816
  6. Step 6: Final answer
    x = 469,033.32

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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.