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Finding the Third Proportional to 165,456 and 232,995

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Solution

The third proportional to 165,456 and 232,995 is: 328,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,456 : 232,995 = 232,995 : x
  2. Step 2: Convert to fraction form
    165,456/232,995 = 232,995/x
  3. Step 3: Cross multiply
    165,456x = 232,995 × 232,995
  4. Step 4: Simplify right side
    165,456x = 54,286,670,025
  5. Step 5: Solve for x
    x = 54,286,670,025/165,456
  6. Step 6: Final answer
    x = 328,103.36

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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.