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Finding the Third Proportional to 164.74 and 337.71

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Solution

The third proportional to 164.74 and 337.71 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.74 : 337.71 = 337.71 : x
  2. Step 2: Convert to fraction form
    164.74/337.71 = 337.71/x
  3. Step 3: Cross multiply
    164.74x = 337.71 × 337.71
  4. Step 4: Simplify right side
    164.74x = 114,048.68
  5. Step 5: Solve for x
    x = 114,048.68/164.74
  6. Step 6: Final answer
    x = 692.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.