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Finding the Third Proportional to 58,296 and 128,256

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Solution

The third proportional to 58,296 and 128,256 is: 282,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296 : 128,256 = 128,256 : x
  2. Step 2: Convert to fraction form
    58,296/128,256 = 128,256/x
  3. Step 3: Cross multiply
    58,296x = 128,256 × 128,256
  4. Step 4: Simplify right side
    58,296x = 16,449,601,536
  5. Step 5: Solve for x
    x = 16,449,601,536/58,296
  6. Step 6: Final answer
    x = 282,173.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.