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Finding the Third Proportional to 215,819.44 and 337,818.09

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Solution

The third proportional to 215,819.44 and 337,818.09 is: 528,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,819.44 : 337,818.09 = 337,818.09 : x
  2. Step 2: Convert to fraction form
    215,819.44/337,818.09 = 337,818.09/x
  3. Step 3: Cross multiply
    215,819.44x = 337,818.09 × 337,818.09
  4. Step 4: Simplify right side
    215,819.44x = 114,121,064,464.88
  5. Step 5: Solve for x
    x = 114,121,064,464.88/215,819.44
  6. Step 6: Final answer
    x = 528,780.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.