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Finding the Third Proportional to 165,852 and 248,517

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Solution

The third proportional to 165,852 and 248,517 is: 372,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,852 : 248,517 = 248,517 : x
  2. Step 2: Convert to fraction form
    165,852/248,517 = 248,517/x
  3. Step 3: Cross multiply
    165,852x = 248,517 × 248,517
  4. Step 4: Simplify right side
    165,852x = 61,760,699,289
  5. Step 5: Solve for x
    x = 61,760,699,289/165,852
  6. Step 6: Final answer
    x = 372,384.41

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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.