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Finding the Third Proportional to 212.13 and 322.75

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Solution

The third proportional to 212.13 and 322.75 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 322.75 = 322.75 : x
  2. Step 2: Convert to fraction form
    212.13/322.75 = 322.75/x
  3. Step 3: Cross multiply
    212.13x = 322.75 × 322.75
  4. Step 4: Simplify right side
    212.13x = 104,167.56
  5. Step 5: Solve for x
    x = 104,167.56/212.13
  6. Step 6: Final answer
    x = 491.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.