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Finding the Third Proportional to 206,914 and 330,595

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Solution

The third proportional to 206,914 and 330,595 is: 528,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,914 : 330,595 = 330,595 : x
  2. Step 2: Convert to fraction form
    206,914/330,595 = 330,595/x
  3. Step 3: Cross multiply
    206,914x = 330,595 × 330,595
  4. Step 4: Simplify right side
    206,914x = 109,293,054,025
  5. Step 5: Solve for x
    x = 109,293,054,025/206,914
  6. Step 6: Final answer
    x = 528,205.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.