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Finding the Third Proportional to 352.16 and 470.34

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Solution

The third proportional to 352.16 and 470.34 is: 628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.16 : 470.34 = 470.34 : x
  2. Step 2: Convert to fraction form
    352.16/470.34 = 470.34/x
  3. Step 3: Cross multiply
    352.16x = 470.34 × 470.34
  4. Step 4: Simplify right side
    352.16x = 221,217.73
  5. Step 5: Solve for x
    x = 221,217.73/352.16
  6. Step 6: Final answer
    x = 628.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.