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Finding the Third Proportional to 204,232 and 306,564

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Solution

The third proportional to 204,232 and 306,564 is: 460,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,232 : 306,564 = 306,564 : x
  2. Step 2: Convert to fraction form
    204,232/306,564 = 306,564/x
  3. Step 3: Cross multiply
    204,232x = 306,564 × 306,564
  4. Step 4: Simplify right side
    204,232x = 93,981,486,096
  5. Step 5: Solve for x
    x = 93,981,486,096/204,232
  6. Step 6: Final answer
    x = 460,170.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.