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Finding the Third Proportional to 165,856 and 248,523.25

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Solution

The third proportional to 165,856 and 248,523.25 is: 372,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,856 : 248,523.25 = 248,523.25 : x
  2. Step 2: Convert to fraction form
    165,856/248,523.25 = 248,523.25/x
  3. Step 3: Cross multiply
    165,856x = 248,523.25 × 248,523.25
  4. Step 4: Simplify right side
    165,856x = 61,763,805,790.56
  5. Step 5: Solve for x
    x = 61,763,805,790.56/165,856
  6. Step 6: Final answer
    x = 372,394.16

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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.