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Finding the Third Proportional to 204,228 and 305,118

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Solution

The third proportional to 204,228 and 305,118 is: 455,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,228 : 305,118 = 305,118 : x
  2. Step 2: Convert to fraction form
    204,228/305,118 = 305,118/x
  3. Step 3: Cross multiply
    204,228x = 305,118 × 305,118
  4. Step 4: Simplify right side
    204,228x = 93,096,993,924
  5. Step 5: Solve for x
    x = 93,096,993,924/204,228
  6. Step 6: Final answer
    x = 455,848.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.