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Finding the Third Proportional to 199,228 and 304,896

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Solution

The third proportional to 199,228 and 304,896 is: 466,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,228 : 304,896 = 304,896 : x
  2. Step 2: Convert to fraction form
    199,228/304,896 = 304,896/x
  3. Step 3: Cross multiply
    199,228x = 304,896 × 304,896
  4. Step 4: Simplify right side
    199,228x = 92,961,570,816
  5. Step 5: Solve for x
    x = 92,961,570,816/199,228
  6. Step 6: Final answer
    x = 466,608.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.