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Finding the Third Proportional to 138,956.75 and 284,465.50

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Solution

The third proportional to 138,956.75 and 284,465.50 is: 582,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,956.75 : 284,465.50 = 284,465.50 : x
  2. Step 2: Convert to fraction form
    138,956.75/284,465.50 = 284,465.50/x
  3. Step 3: Cross multiply
    138,956.75x = 284,465.50 × 284,465.50
  4. Step 4: Simplify right side
    138,956.75x = 80,920,620,690.25
  5. Step 5: Solve for x
    x = 80,920,620,690.25/138,956.75
  6. Step 6: Final answer
    x = 582,343.94

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.