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Finding the Third Proportional to 353.74 and 550.34

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Solution

The third proportional to 353.74 and 550.34 is: 856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.74 : 550.34 = 550.34 : x
  2. Step 2: Convert to fraction form
    353.74/550.34 = 550.34/x
  3. Step 3: Cross multiply
    353.74x = 550.34 × 550.34
  4. Step 4: Simplify right side
    353.74x = 302,869.64
  5. Step 5: Solve for x
    x = 302,869.64/353.74
  6. Step 6: Final answer
    x = 856.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.