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Finding the Third Proportional to 206,226.75 and 301,956.75

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Solution

The third proportional to 206,226.75 and 301,956.75 is: 442,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,226.75 : 301,956.75 = 301,956.75 : x
  2. Step 2: Convert to fraction form
    206,226.75/301,956.75 = 301,956.75/x
  3. Step 3: Cross multiply
    206,226.75x = 301,956.75 × 301,956.75
  4. Step 4: Simplify right side
    206,226.75x = 91,177,878,870.56
  5. Step 5: Solve for x
    x = 91,177,878,870.56/206,226.75
  6. Step 6: Final answer
    x = 442,124.40

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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.