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Finding the Third Proportional to 162,667 and 335,378

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Solution

The third proportional to 162,667 and 335,378 is: 691,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,667 : 335,378 = 335,378 : x
  2. Step 2: Convert to fraction form
    162,667/335,378 = 335,378/x
  3. Step 3: Cross multiply
    162,667x = 335,378 × 335,378
  4. Step 4: Simplify right side
    162,667x = 112,478,402,884
  5. Step 5: Solve for x
    x = 112,478,402,884/162,667
  6. Step 6: Final answer
    x = 691,464.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.