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Finding the Third Proportional to 164.93 and 350.10

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Solution

The third proportional to 164.93 and 350.10 is: 743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 350.10 = 350.10 : x
  2. Step 2: Convert to fraction form
    164.93/350.10 = 350.10/x
  3. Step 3: Cross multiply
    164.93x = 350.10 × 350.10
  4. Step 4: Simplify right side
    164.93x = 122,572.47
  5. Step 5: Solve for x
    x = 122,572.47/164.93
  6. Step 6: Final answer
    x = 743.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.