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Finding the Third Proportional to 165,622 and 234,129

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Solution

The third proportional to 165,622 and 234,129 is: 330,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,622 : 234,129 = 234,129 : x
  2. Step 2: Convert to fraction form
    165,622/234,129 = 234,129/x
  3. Step 3: Cross multiply
    165,622x = 234,129 × 234,129
  4. Step 4: Simplify right side
    165,622x = 54,816,388,641
  5. Step 5: Solve for x
    x = 54,816,388,641/165,622
  6. Step 6: Final answer
    x = 330,972.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.