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Finding the Third Proportional to 262,500.75 and 285,828.75

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Solution

The third proportional to 262,500.75 and 285,828.75 is: 311,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,500.75 : 285,828.75 = 285,828.75 : x
  2. Step 2: Convert to fraction form
    262,500.75/285,828.75 = 285,828.75/x
  3. Step 3: Cross multiply
    262,500.75x = 285,828.75 × 285,828.75
  4. Step 4: Simplify right side
    262,500.75x = 81,698,074,326.56
  5. Step 5: Solve for x
    x = 81,698,074,326.56/262,500.75
  6. Step 6: Final answer
    x = 311,229.87

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.