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Finding the Third Proportional to 200,901 and 440,343

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Solution

The third proportional to 200,901 and 440,343 is: 965,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,901 : 440,343 = 440,343 : x
  2. Step 2: Convert to fraction form
    200,901/440,343 = 440,343/x
  3. Step 3: Cross multiply
    200,901x = 440,343 × 440,343
  4. Step 4: Simplify right side
    200,901x = 193,901,957,649
  5. Step 5: Solve for x
    x = 193,901,957,649/200,901
  6. Step 6: Final answer
    x = 965,161.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.