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Finding the Third Proportional to 206,462 and 301,725

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Solution

The third proportional to 206,462 and 301,725 is: 440,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,462 : 301,725 = 301,725 : x
  2. Step 2: Convert to fraction form
    206,462/301,725 = 301,725/x
  3. Step 3: Cross multiply
    206,462x = 301,725 × 301,725
  4. Step 4: Simplify right side
    206,462x = 91,037,975,625
  5. Step 5: Solve for x
    x = 91,037,975,625/206,462
  6. Step 6: Final answer
    x = 440,943.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.