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Finding the Third Proportional to 200,846.50 and 285,535.50

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Solution

The third proportional to 200,846.50 and 285,535.50 is: 405,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,846.50 : 285,535.50 = 285,535.50 : x
  2. Step 2: Convert to fraction form
    200,846.50/285,535.50 = 285,535.50/x
  3. Step 3: Cross multiply
    200,846.50x = 285,535.50 × 285,535.50
  4. Step 4: Simplify right side
    200,846.50x = 81,530,521,760.25
  5. Step 5: Solve for x
    x = 81,530,521,760.25/200,846.50
  6. Step 6: Final answer
    x = 405,934.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.