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Finding the Third Proportional to 203,726 and 266,192

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Solution

The third proportional to 203,726 and 266,192 is: 347,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,726 : 266,192 = 266,192 : x
  2. Step 2: Convert to fraction form
    203,726/266,192 = 266,192/x
  3. Step 3: Cross multiply
    203,726x = 266,192 × 266,192
  4. Step 4: Simplify right side
    203,726x = 70,858,180,864
  5. Step 5: Solve for x
    x = 70,858,180,864/203,726
  6. Step 6: Final answer
    x = 347,811.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.