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Finding the Third Proportional to 204,264 and 305,160

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Solution

The third proportional to 204,264 and 305,160 is: 455,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,264 : 305,160 = 305,160 : x
  2. Step 2: Convert to fraction form
    204,264/305,160 = 305,160/x
  3. Step 3: Cross multiply
    204,264x = 305,160 × 305,160
  4. Step 4: Simplify right side
    204,264x = 93,122,625,600
  5. Step 5: Solve for x
    x = 93,122,625,600/204,264
  6. Step 6: Final answer
    x = 455,893.48

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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.