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Finding the Third Proportional to 162.93 and 336.64

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Solution

The third proportional to 162.93 and 336.64 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.93 : 336.64 = 336.64 : x
  2. Step 2: Convert to fraction form
    162.93/336.64 = 336.64/x
  3. Step 3: Cross multiply
    162.93x = 336.64 × 336.64
  4. Step 4: Simplify right side
    162.93x = 113,324.12
  5. Step 5: Solve for x
    x = 113,324.12/162.93
  6. Step 6: Final answer
    x = 695.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.