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Finding the Third Proportional to 187,192 and 305,631

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Solution

The third proportional to 187,192 and 305,631 is: 499,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,192 : 305,631 = 305,631 : x
  2. Step 2: Convert to fraction form
    187,192/305,631 = 305,631/x
  3. Step 3: Cross multiply
    187,192x = 305,631 × 305,631
  4. Step 4: Simplify right side
    187,192x = 93,410,308,161
  5. Step 5: Solve for x
    x = 93,410,308,161/187,192
  6. Step 6: Final answer
    x = 499,008.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.