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Finding the Third Proportional to 187,660 and 382,960

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Solution

The third proportional to 187,660 and 382,960 is: 781,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,660 : 382,960 = 382,960 : x
  2. Step 2: Convert to fraction form
    187,660/382,960 = 382,960/x
  3. Step 3: Cross multiply
    187,660x = 382,960 × 382,960
  4. Step 4: Simplify right side
    187,660x = 146,658,361,600
  5. Step 5: Solve for x
    x = 146,658,361,600/187,660
  6. Step 6: Final answer
    x = 781,511.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.