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Finding the Third Proportional to 228,036 and 350,802

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Solution

The third proportional to 228,036 and 350,802 is: 539,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,036 : 350,802 = 350,802 : x
  2. Step 2: Convert to fraction form
    228,036/350,802 = 350,802/x
  3. Step 3: Cross multiply
    228,036x = 350,802 × 350,802
  4. Step 4: Simplify right side
    228,036x = 123,062,043,204
  5. Step 5: Solve for x
    x = 123,062,043,204/228,036
  6. Step 6: Final answer
    x = 539,660.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.