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Finding the Third Proportional to 180,927 and 385,901

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Solution

The third proportional to 180,927 and 385,901 is: 823,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,927 : 385,901 = 385,901 : x
  2. Step 2: Convert to fraction form
    180,927/385,901 = 385,901/x
  3. Step 3: Cross multiply
    180,927x = 385,901 × 385,901
  4. Step 4: Simplify right side
    180,927x = 148,919,581,801
  5. Step 5: Solve for x
    x = 148,919,581,801/180,927
  6. Step 6: Final answer
    x = 823,092.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.