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Finding the Third Proportional to 172,714.78 and 254,134.97

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Solution

The third proportional to 172,714.78 and 254,134.97 is: 373,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,714.78 : 254,134.97 = 254,134.97 : x
  2. Step 2: Convert to fraction form
    172,714.78/254,134.97 = 254,134.97/x
  3. Step 3: Cross multiply
    172,714.78x = 254,134.97 × 254,134.97
  4. Step 4: Simplify right side
    172,714.78x = 64,584,582,341.56
  5. Step 5: Solve for x
    x = 64,584,582,341.56/172,714.78
  6. Step 6: Final answer
    x = 373,937.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.