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Finding the Third Proportional to 131,564.67 and 276,882.89

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Solution

The third proportional to 131,564.67 and 276,882.89 is: 582,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,564.67 : 276,882.89 = 276,882.89 : x
  2. Step 2: Convert to fraction form
    131,564.67/276,882.89 = 276,882.89/x
  3. Step 3: Cross multiply
    131,564.67x = 276,882.89 × 276,882.89
  4. Step 4: Simplify right side
    131,564.67x = 76,664,135,120.86
  5. Step 5: Solve for x
    x = 76,664,135,120.86/131,564.67
  6. Step 6: Final answer
    x = 582,710.65

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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.