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Finding the Third Proportional to 188,025 and 291,279

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Solution

The third proportional to 188,025 and 291,279 is: 451,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,025 : 291,279 = 291,279 : x
  2. Step 2: Convert to fraction form
    188,025/291,279 = 291,279/x
  3. Step 3: Cross multiply
    188,025x = 291,279 × 291,279
  4. Step 4: Simplify right side
    188,025x = 84,843,455,841
  5. Step 5: Solve for x
    x = 84,843,455,841/188,025
  6. Step 6: Final answer
    x = 451,234.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.