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Finding the Third Proportional to 206,437 and 301,690

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Solution

The third proportional to 206,437 and 301,690 is: 440,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,437 : 301,690 = 301,690 : x
  2. Step 2: Convert to fraction form
    206,437/301,690 = 301,690/x
  3. Step 3: Cross multiply
    206,437x = 301,690 × 301,690
  4. Step 4: Simplify right side
    206,437x = 91,016,856,100
  5. Step 5: Solve for x
    x = 91,016,856,100/206,437
  6. Step 6: Final answer
    x = 440,894.10

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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.