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Finding the Third Proportional to 165,828.52 and 263,005.73

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Solution

The third proportional to 165,828.52 and 263,005.73 is: 417,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,828.52 : 263,005.73 = 263,005.73 : x
  2. Step 2: Convert to fraction form
    165,828.52/263,005.73 = 263,005.73/x
  3. Step 3: Cross multiply
    165,828.52x = 263,005.73 × 263,005.73
  4. Step 4: Simplify right side
    165,828.52x = 69,172,016,314.13
  5. Step 5: Solve for x
    x = 69,172,016,314.13/165,828.52
  6. Step 6: Final answer
    x = 417,129.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.