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Finding the Third Proportional to 214.03 and 332.72

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Solution

The third proportional to 214.03 and 332.72 is: 517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 332.72 = 332.72 : x
  2. Step 2: Convert to fraction form
    214.03/332.72 = 332.72/x
  3. Step 3: Cross multiply
    214.03x = 332.72 × 332.72
  4. Step 4: Simplify right side
    214.03x = 110,701.77
  5. Step 5: Solve for x
    x = 110,701.77/214.03
  6. Step 6: Final answer
    x = 517.22

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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.