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Finding the Third Proportional to 160,256 and 232,116

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Solution

The third proportional to 160,256 and 232,116 is: 336,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,256 : 232,116 = 232,116 : x
  2. Step 2: Convert to fraction form
    160,256/232,116 = 232,116/x
  3. Step 3: Cross multiply
    160,256x = 232,116 × 232,116
  4. Step 4: Simplify right side
    160,256x = 53,877,837,456
  5. Step 5: Solve for x
    x = 53,877,837,456/160,256
  6. Step 6: Final answer
    x = 336,198.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.