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Finding the Third Proportional to 214.29 and 332.46

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Solution

The third proportional to 214.29 and 332.46 is: 515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 332.46 = 332.46 : x
  2. Step 2: Convert to fraction form
    214.29/332.46 = 332.46/x
  3. Step 3: Cross multiply
    214.29x = 332.46 × 332.46
  4. Step 4: Simplify right side
    214.29x = 110,532.22
  5. Step 5: Solve for x
    x = 110,532.22/214.29
  6. Step 6: Final answer
    x = 515.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.