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Finding the Third Proportional to 165,552.75 and 262,321.88

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Solution

The third proportional to 165,552.75 and 262,321.88 is: 415,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,552.75 : 262,321.88 = 262,321.88 : x
  2. Step 2: Convert to fraction form
    165,552.75/262,321.88 = 262,321.88/x
  3. Step 3: Cross multiply
    165,552.75x = 262,321.88 × 262,321.88
  4. Step 4: Simplify right side
    165,552.75x = 68,812,766,103.52
  5. Step 5: Solve for x
    x = 68,812,766,103.52/165,552.75
  6. Step 6: Final answer
    x = 415,654.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.