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Finding the Third Proportional to 165,429 and 232,965

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Solution

The third proportional to 165,429 and 232,965 is: 328,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,429 : 232,965 = 232,965 : x
  2. Step 2: Convert to fraction form
    165,429/232,965 = 232,965/x
  3. Step 3: Cross multiply
    165,429x = 232,965 × 232,965
  4. Step 4: Simplify right side
    165,429x = 54,272,691,225
  5. Step 5: Solve for x
    x = 54,272,691,225/165,429
  6. Step 6: Final answer
    x = 328,072.41

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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.