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Finding the Third Proportional to 151,640 and 232,096

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Solution

The third proportional to 151,640 and 232,096 is: 355,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,640 : 232,096 = 232,096 : x
  2. Step 2: Convert to fraction form
    151,640/232,096 = 232,096/x
  3. Step 3: Cross multiply
    151,640x = 232,096 × 232,096
  4. Step 4: Simplify right side
    151,640x = 53,868,553,216
  5. Step 5: Solve for x
    x = 53,868,553,216/151,640
  6. Step 6: Final answer
    x = 355,239.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.