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Finding the Third Proportional to 168,180.19 and 260,676.56

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Solution

The third proportional to 168,180.19 and 260,676.56 is: 404,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,180.19 : 260,676.56 = 260,676.56 : x
  2. Step 2: Convert to fraction form
    168,180.19/260,676.56 = 260,676.56/x
  3. Step 3: Cross multiply
    168,180.19x = 260,676.56 × 260,676.56
  4. Step 4: Simplify right side
    168,180.19x = 67,952,270,236.82
  5. Step 5: Solve for x
    x = 67,952,270,236.82/168,180.19
  6. Step 6: Final answer
    x = 404,044.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.