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Finding the Third Proportional to 187,866 and 388,152

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Solution

The third proportional to 187,866 and 388,152 is: 801,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,866 : 388,152 = 388,152 : x
  2. Step 2: Convert to fraction form
    187,866/388,152 = 388,152/x
  3. Step 3: Cross multiply
    187,866x = 388,152 × 388,152
  4. Step 4: Simplify right side
    187,866x = 150,661,975,104
  5. Step 5: Solve for x
    x = 150,661,975,104/187,866
  6. Step 6: Final answer
    x = 801,965.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.