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Finding the Third Proportional to 214.25 and 322.38

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Solution

The third proportional to 214.25 and 322.38 is: 485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 322.38 = 322.38 : x
  2. Step 2: Convert to fraction form
    214.25/322.38 = 322.38/x
  3. Step 3: Cross multiply
    214.25x = 322.38 × 322.38
  4. Step 4: Simplify right side
    214.25x = 103,925.64
  5. Step 5: Solve for x
    x = 103,925.64/214.25
  6. Step 6: Final answer
    x = 485.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.