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Finding the Third Proportional to 131,566 and 276,885.50

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Solution

The third proportional to 131,566 and 276,885.50 is: 582,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,566 : 276,885.50 = 276,885.50 : x
  2. Step 2: Convert to fraction form
    131,566/276,885.50 = 276,885.50/x
  3. Step 3: Cross multiply
    131,566x = 276,885.50 × 276,885.50
  4. Step 4: Simplify right side
    131,566x = 76,665,580,110.25
  5. Step 5: Solve for x
    x = 76,665,580,110.25/131,566
  6. Step 6: Final answer
    x = 582,715.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.