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Finding the Third Proportional to 165,848 and 255,042

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Solution

The third proportional to 165,848 and 255,042 is: 392,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,848 : 255,042 = 255,042 : x
  2. Step 2: Convert to fraction form
    165,848/255,042 = 255,042/x
  3. Step 3: Cross multiply
    165,848x = 255,042 × 255,042
  4. Step 4: Simplify right side
    165,848x = 65,046,421,764
  5. Step 5: Solve for x
    x = 65,046,421,764/165,848
  6. Step 6: Final answer
    x = 392,205.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.