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Finding the Third Proportional to 227,256 and 336,509

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Solution

The third proportional to 227,256 and 336,509 is: 498,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,256 : 336,509 = 336,509 : x
  2. Step 2: Convert to fraction form
    227,256/336,509 = 336,509/x
  3. Step 3: Cross multiply
    227,256x = 336,509 × 336,509
  4. Step 4: Simplify right side
    227,256x = 113,238,307,081
  5. Step 5: Solve for x
    x = 113,238,307,081/227,256
  6. Step 6: Final answer
    x = 498,285.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.