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Finding the Third Proportional to 214.59 and 270.84

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Solution

The third proportional to 214.59 and 270.84 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.59 : 270.84 = 270.84 : x
  2. Step 2: Convert to fraction form
    214.59/270.84 = 270.84/x
  3. Step 3: Cross multiply
    214.59x = 270.84 × 270.84
  4. Step 4: Simplify right side
    214.59x = 73,356.34
  5. Step 5: Solve for x
    x = 73,356.34/214.59
  6. Step 6: Final answer
    x = 341.84

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.