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Finding the Third Proportional to 104,077 and 227,415

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Solution

The third proportional to 104,077 and 227,415 is: 496,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,077 : 227,415 = 227,415 : x
  2. Step 2: Convert to fraction form
    104,077/227,415 = 227,415/x
  3. Step 3: Cross multiply
    104,077x = 227,415 × 227,415
  4. Step 4: Simplify right side
    104,077x = 51,717,582,225
  5. Step 5: Solve for x
    x = 51,717,582,225/104,077
  6. Step 6: Final answer
    x = 496,916.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.