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Finding the Third Proportional to 165,852.75 and 248,518.75

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Solution

The third proportional to 165,852.75 and 248,518.75 is: 372,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,852.75 : 248,518.75 = 248,518.75 : x
  2. Step 2: Convert to fraction form
    165,852.75/248,518.75 = 248,518.75/x
  3. Step 3: Cross multiply
    165,852.75x = 248,518.75 × 248,518.75
  4. Step 4: Simplify right side
    165,852.75x = 61,761,569,101.56
  5. Step 5: Solve for x
    x = 61,761,569,101.56/165,852.75
  6. Step 6: Final answer
    x = 372,387.97

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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.