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Finding the Third Proportional to 164,664 and 335,156

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Solution

The third proportional to 164,664 and 335,156 is: 682,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664 : 335,156 = 335,156 : x
  2. Step 2: Convert to fraction form
    164,664/335,156 = 335,156/x
  3. Step 3: Cross multiply
    164,664x = 335,156 × 335,156
  4. Step 4: Simplify right side
    164,664x = 112,329,544,336
  5. Step 5: Solve for x
    x = 112,329,544,336/164,664
  6. Step 6: Final answer
    x = 682,174.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.