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Finding the Third Proportional to 168,674.91 and 253,498.36

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Solution

The third proportional to 168,674.91 and 253,498.36 is: 380,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,674.91 : 253,498.36 = 253,498.36 : x
  2. Step 2: Convert to fraction form
    168,674.91/253,498.36 = 253,498.36/x
  3. Step 3: Cross multiply
    168,674.91x = 253,498.36 × 253,498.36
  4. Step 4: Simplify right side
    168,674.91x = 64,261,418,205.82
  5. Step 5: Solve for x
    x = 64,261,418,205.82/168,674.91
  6. Step 6: Final answer
    x = 380,977.94

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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.