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Finding the Third Proportional to 164 and 337.75

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Solution

The third proportional to 164 and 337.75 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 337.75 = 337.75 : x
  2. Step 2: Convert to fraction form
    164/337.75 = 337.75/x
  3. Step 3: Cross multiply
    164x = 337.75 × 337.75
  4. Step 4: Simplify right side
    164x = 114,075.06
  5. Step 5: Solve for x
    x = 114,075.06/164
  6. Step 6: Final answer
    x = 695.58

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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.