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Finding the Third Proportional to 159,044.63 and 342,997.88

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Solution

The third proportional to 159,044.63 and 342,997.88 is: 739,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,044.63 : 342,997.88 = 342,997.88 : x
  2. Step 2: Convert to fraction form
    159,044.63/342,997.88 = 342,997.88/x
  3. Step 3: Cross multiply
    159,044.63x = 342,997.88 × 342,997.88
  4. Step 4: Simplify right side
    159,044.63x = 117,647,542,254.52
  5. Step 5: Solve for x
    x = 117,647,542,254.52/159,044.63
  6. Step 6: Final answer
    x = 739,714.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.