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Finding the Third Proportional to 214.03 and 433.13

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Solution

The third proportional to 214.03 and 433.13 is: 876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 433.13 = 433.13 : x
  2. Step 2: Convert to fraction form
    214.03/433.13 = 433.13/x
  3. Step 3: Cross multiply
    214.03x = 433.13 × 433.13
  4. Step 4: Simplify right side
    214.03x = 187,597.27
  5. Step 5: Solve for x
    x = 187,597.27/214.03
  6. Step 6: Final answer
    x = 876.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.