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Finding the Third Proportional to 212,872.75 and 354,773.75

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Solution

The third proportional to 212,872.75 and 354,773.75 is: 591,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.75 : 354,773.75 = 354,773.75 : x
  2. Step 2: Convert to fraction form
    212,872.75/354,773.75 = 354,773.75/x
  3. Step 3: Cross multiply
    212,872.75x = 354,773.75 × 354,773.75
  4. Step 4: Simplify right side
    212,872.75x = 125,864,413,689.06
  5. Step 5: Solve for x
    x = 125,864,413,689.06/212,872.75
  6. Step 6: Final answer
    x = 591,265.97

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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.