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Finding the Third Proportional to 133,192 and 187,344

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Solution

The third proportional to 133,192 and 187,344 is: 263,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,192 : 187,344 = 187,344 : x
  2. Step 2: Convert to fraction form
    133,192/187,344 = 187,344/x
  3. Step 3: Cross multiply
    133,192x = 187,344 × 187,344
  4. Step 4: Simplify right side
    133,192x = 35,097,774,336
  5. Step 5: Solve for x
    x = 35,097,774,336/133,192
  6. Step 6: Final answer
    x = 263,512.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.