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Finding the Third Proportional to 135,313.88 and 206,162.44

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Solution

The third proportional to 135,313.88 and 206,162.44 is: 314,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,313.88 : 206,162.44 = 206,162.44 : x
  2. Step 2: Convert to fraction form
    135,313.88/206,162.44 = 206,162.44/x
  3. Step 3: Cross multiply
    135,313.88x = 206,162.44 × 206,162.44
  4. Step 4: Simplify right side
    135,313.88x = 42,502,950,635.94
  5. Step 5: Solve for x
    x = 42,502,950,635.94/135,313.88
  6. Step 6: Final answer
    x = 314,106.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.