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Finding the Third Proportional to 187,944 and 404,967

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Solution

The third proportional to 187,944 and 404,967 is: 872,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,944 : 404,967 = 404,967 : x
  2. Step 2: Convert to fraction form
    187,944/404,967 = 404,967/x
  3. Step 3: Cross multiply
    187,944x = 404,967 × 404,967
  4. Step 4: Simplify right side
    187,944x = 163,998,271,089
  5. Step 5: Solve for x
    x = 163,998,271,089/187,944
  6. Step 6: Final answer
    x = 872,591.15

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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.