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Finding the Third Proportional to 206,444.25 and 301,700.25

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Solution

The third proportional to 206,444.25 and 301,700.25 is: 440,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,444.25 : 301,700.25 = 301,700.25 : x
  2. Step 2: Convert to fraction form
    206,444.25/301,700.25 = 301,700.25/x
  3. Step 3: Cross multiply
    206,444.25x = 301,700.25 × 301,700.25
  4. Step 4: Simplify right side
    206,444.25x = 91,023,040,850.06
  5. Step 5: Solve for x
    x = 91,023,040,850.06/206,444.25
  6. Step 6: Final answer
    x = 440,908.58

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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.