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Finding the Third Proportional to 165,857.63 and 248,524.88

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Solution

The third proportional to 165,857.63 and 248,524.88 is: 372,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,857.63 : 248,524.88 = 248,524.88 : x
  2. Step 2: Convert to fraction form
    165,857.63/248,524.88 = 248,524.88/x
  3. Step 3: Cross multiply
    165,857.63x = 248,524.88 × 248,524.88
  4. Step 4: Simplify right side
    165,857.63x = 61,764,613,493.77
  5. Step 5: Solve for x
    x = 61,764,613,493.77/165,857.63
  6. Step 6: Final answer
    x = 372,395.38

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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.