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Finding the Third Proportional to 165,108 and 248,034

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Solution

The third proportional to 165,108 and 248,034 is: 372,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,108 : 248,034 = 248,034 : x
  2. Step 2: Convert to fraction form
    165,108/248,034 = 248,034/x
  3. Step 3: Cross multiply
    165,108x = 248,034 × 248,034
  4. Step 4: Simplify right side
    165,108x = 61,520,865,156
  5. Step 5: Solve for x
    x = 61,520,865,156/165,108
  6. Step 6: Final answer
    x = 372,609.84

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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.