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Finding the Third Proportional to 202,264 and 440,185

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Solution

The third proportional to 202,264 and 440,185 is: 957,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264 : 440,185 = 440,185 : x
  2. Step 2: Convert to fraction form
    202,264/440,185 = 440,185/x
  3. Step 3: Cross multiply
    202,264x = 440,185 × 440,185
  4. Step 4: Simplify right side
    202,264x = 193,762,834,225
  5. Step 5: Solve for x
    x = 193,762,834,225/202,264
  6. Step 6: Final answer
    x = 957,969.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.