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Finding the Third Proportional to 212,863.99 and 354,759.75

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Solution

The third proportional to 212,863.99 and 354,759.75 is: 591,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,863.99 : 354,759.75 = 354,759.75 : x
  2. Step 2: Convert to fraction form
    212,863.99/354,759.75 = 354,759.75/x
  3. Step 3: Cross multiply
    212,863.99x = 354,759.75 × 354,759.75
  4. Step 4: Simplify right side
    212,863.99x = 125,854,480,220.06
  5. Step 5: Solve for x
    x = 125,854,480,220.06/212,863.99
  6. Step 6: Final answer
    x = 591,243.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.