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Finding the Third Proportional to 206,127 and 301,809

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Solution

The third proportional to 206,127 and 301,809 is: 441,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,127 : 301,809 = 301,809 : x
  2. Step 2: Convert to fraction form
    206,127/301,809 = 301,809/x
  3. Step 3: Cross multiply
    206,127x = 301,809 × 301,809
  4. Step 4: Simplify right side
    206,127x = 91,088,672,481
  5. Step 5: Solve for x
    x = 91,088,672,481/206,127
  6. Step 6: Final answer
    x = 441,905.58

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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.