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Finding the Third Proportional to 187,941 and 404,961

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Solution

The third proportional to 187,941 and 404,961 is: 872,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,941 : 404,961 = 404,961 : x
  2. Step 2: Convert to fraction form
    187,941/404,961 = 404,961/x
  3. Step 3: Cross multiply
    187,941x = 404,961 × 404,961
  4. Step 4: Simplify right side
    187,941x = 163,993,411,521
  5. Step 5: Solve for x
    x = 163,993,411,521/187,941
  6. Step 6: Final answer
    x = 872,579.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.