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Finding the Third Proportional to 165,144 and 229,785

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Solution

The third proportional to 165,144 and 229,785 is: 319,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,144 : 229,785 = 229,785 : x
  2. Step 2: Convert to fraction form
    165,144/229,785 = 229,785/x
  3. Step 3: Cross multiply
    165,144x = 229,785 × 229,785
  4. Step 4: Simplify right side
    165,144x = 52,801,146,225
  5. Step 5: Solve for x
    x = 52,801,146,225/165,144
  6. Step 6: Final answer
    x = 319,727.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.