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Finding the Third Proportional to 343.97 and 746.16

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Solution

The third proportional to 343.97 and 746.16 is: 1,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.97 : 746.16 = 746.16 : x
  2. Step 2: Convert to fraction form
    343.97/746.16 = 746.16/x
  3. Step 3: Cross multiply
    343.97x = 746.16 × 746.16
  4. Step 4: Simplify right side
    343.97x = 556,749.15
  5. Step 5: Solve for x
    x = 556,749.15/343.97
  6. Step 6: Final answer
    x = 1,618.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.