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Finding the Third Proportional to 212,221.13 and 318,331.69

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Solution

The third proportional to 212,221.13 and 318,331.69 is: 477,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,221.13 : 318,331.69 = 318,331.69 : x
  2. Step 2: Convert to fraction form
    212,221.13/318,331.69 = 318,331.69/x
  3. Step 3: Cross multiply
    212,221.13x = 318,331.69 × 318,331.69
  4. Step 4: Simplify right side
    212,221.13x = 101,335,063,266.60
  5. Step 5: Solve for x
    x = 101,335,063,266.60/212,221.13
  6. Step 6: Final answer
    x = 477,497.53

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