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Finding the Third Proportional to 150,714 and 204,688

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Solution

The third proportional to 150,714 and 204,688 is: 277,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714 : 204,688 = 204,688 : x
  2. Step 2: Convert to fraction form
    150,714/204,688 = 204,688/x
  3. Step 3: Cross multiply
    150,714x = 204,688 × 204,688
  4. Step 4: Simplify right side
    150,714x = 41,897,177,344
  5. Step 5: Solve for x
    x = 41,897,177,344/150,714
  6. Step 6: Final answer
    x = 277,991.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.