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Finding the Third Proportional to 150,216.61 and 200,664.84

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Solution

The third proportional to 150,216.61 and 200,664.84 is: 268,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,216.61 : 200,664.84 = 200,664.84 : x
  2. Step 2: Convert to fraction form
    150,216.61/200,664.84 = 200,664.84/x
  3. Step 3: Cross multiply
    150,216.61x = 200,664.84 × 200,664.84
  4. Step 4: Simplify right side
    150,216.61x = 40,266,379,517.21
  5. Step 5: Solve for x
    x = 40,266,379,517.21/150,216.61
  6. Step 6: Final answer
    x = 268,055.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.