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Finding the Third Proportional to 164,268 and 351,864

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Solution

The third proportional to 164,268 and 351,864 is: 753,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,268 : 351,864 = 351,864 : x
  2. Step 2: Convert to fraction form
    164,268/351,864 = 351,864/x
  3. Step 3: Cross multiply
    164,268x = 351,864 × 351,864
  4. Step 4: Simplify right side
    164,268x = 123,808,274,496
  5. Step 5: Solve for x
    x = 123,808,274,496/164,268
  6. Step 6: Final answer
    x = 753,696.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.