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Finding the Third Proportional to 206,525 and 437,823

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Solution

The third proportional to 206,525 and 437,823 is: 928,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,525 : 437,823 = 437,823 : x
  2. Step 2: Convert to fraction form
    206,525/437,823 = 437,823/x
  3. Step 3: Cross multiply
    206,525x = 437,823 × 437,823
  4. Step 4: Simplify right side
    206,525x = 191,688,979,329
  5. Step 5: Solve for x
    x = 191,688,979,329/206,525
  6. Step 6: Final answer
    x = 928,163.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.