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Finding the Third Proportional to 165,640 and 234,156

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Solution

The third proportional to 165,640 and 234,156 is: 331,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,640 : 234,156 = 234,156 : x
  2. Step 2: Convert to fraction form
    165,640/234,156 = 234,156/x
  3. Step 3: Cross multiply
    165,640x = 234,156 × 234,156
  4. Step 4: Simplify right side
    165,640x = 54,829,032,336
  5. Step 5: Solve for x
    x = 54,829,032,336/165,640
  6. Step 6: Final answer
    x = 331,013.24

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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.