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Finding the Third Proportional to 214.95 and 335.29

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Solution

The third proportional to 214.95 and 335.29 is: 523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.95 : 335.29 = 335.29 : x
  2. Step 2: Convert to fraction form
    214.95/335.29 = 335.29/x
  3. Step 3: Cross multiply
    214.95x = 335.29 × 335.29
  4. Step 4: Simplify right side
    214.95x = 112,416.14
  5. Step 5: Solve for x
    x = 112,416.14/214.95
  6. Step 6: Final answer
    x = 523.00

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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.