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Finding the Third Proportional to 164,744 and 335,316

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Solution

The third proportional to 164,744 and 335,316 is: 682,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,744 : 335,316 = 335,316 : x
  2. Step 2: Convert to fraction form
    164,744/335,316 = 335,316/x
  3. Step 3: Cross multiply
    164,744x = 335,316 × 335,316
  4. Step 4: Simplify right side
    164,744x = 112,436,819,856
  5. Step 5: Solve for x
    x = 112,436,819,856/164,744
  6. Step 6: Final answer
    x = 682,494.17

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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.