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Finding the Third Proportional to 206,445 and 301,701

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Solution

The third proportional to 206,445 and 301,701 is: 440,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,445 : 301,701 = 301,701 : x
  2. Step 2: Convert to fraction form
    206,445/301,701 = 301,701/x
  3. Step 3: Cross multiply
    206,445x = 301,701 × 301,701
  4. Step 4: Simplify right side
    206,445x = 91,023,493,401
  5. Step 5: Solve for x
    x = 91,023,493,401/206,445
  6. Step 6: Final answer
    x = 440,909.17

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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.