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Finding the Third Proportional to 187,186 and 400,100

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Solution

The third proportional to 187,186 and 400,100 is: 855,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,186 : 400,100 = 400,100 : x
  2. Step 2: Convert to fraction form
    187,186/400,100 = 400,100/x
  3. Step 3: Cross multiply
    187,186x = 400,100 × 400,100
  4. Step 4: Simplify right side
    187,186x = 160,080,010,000
  5. Step 5: Solve for x
    x = 160,080,010,000/187,186
  6. Step 6: Final answer
    x = 855,192.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.