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Finding the Third Proportional to 187,084 and 400,732

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Solution

The third proportional to 187,084 and 400,732 is: 858,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,084 : 400,732 = 400,732 : x
  2. Step 2: Convert to fraction form
    187,084/400,732 = 400,732/x
  3. Step 3: Cross multiply
    187,084x = 400,732 × 400,732
  4. Step 4: Simplify right side
    187,084x = 160,586,135,824
  5. Step 5: Solve for x
    x = 160,586,135,824/187,084
  6. Step 6: Final answer
    x = 858,363.81

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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.