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Finding the Third Proportional to 165,099 and 248,020.50

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Solution

The third proportional to 165,099 and 248,020.50 is: 372,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,099 : 248,020.50 = 248,020.50 : x
  2. Step 2: Convert to fraction form
    165,099/248,020.50 = 248,020.50/x
  3. Step 3: Cross multiply
    165,099x = 248,020.50 × 248,020.50
  4. Step 4: Simplify right side
    165,099x = 61,514,168,420.25
  5. Step 5: Solve for x
    x = 61,514,168,420.25/165,099
  6. Step 6: Final answer
    x = 372,589.59

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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.