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Finding the Third Proportional to 164 and 348.50

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Solution

The third proportional to 164 and 348.50 is: 740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 348.50 = 348.50 : x
  2. Step 2: Convert to fraction form
    164/348.50 = 348.50/x
  3. Step 3: Cross multiply
    164x = 348.50 × 348.50
  4. Step 4: Simplify right side
    164x = 121,452.25
  5. Step 5: Solve for x
    x = 121,452.25/164
  6. Step 6: Final answer
    x = 740.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.