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Finding the Third Proportional to 156,714.75 and 204,150.38

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Solution

The third proportional to 156,714.75 and 204,150.38 is: 265,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,714.75 : 204,150.38 = 204,150.38 : x
  2. Step 2: Convert to fraction form
    156,714.75/204,150.38 = 204,150.38/x
  3. Step 3: Cross multiply
    156,714.75x = 204,150.38 × 204,150.38
  4. Step 4: Simplify right side
    156,714.75x = 41,677,375,612.64
  5. Step 5: Solve for x
    x = 41,677,375,612.64/156,714.75
  6. Step 6: Final answer
    x = 265,944.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.