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Finding the Third Proportional to 1,346.91 and 2,150.44

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Solution

The third proportional to 1,346.91 and 2,150.44 is: 3,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.91 : 2,150.44 = 2,150.44 : x
  2. Step 2: Convert to fraction form
    1,346.91/2,150.44 = 2,150.44/x
  3. Step 3: Cross multiply
    1,346.91x = 2,150.44 × 2,150.44
  4. Step 4: Simplify right side
    1,346.91x = 4,624,381.44
  5. Step 5: Solve for x
    x = 4,624,381.44/1,346.91
  6. Step 6: Final answer
    x = 3,433.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.