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Finding the Third Proportional to 187,504.31 and 404,327.81

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Solution

The third proportional to 187,504.31 and 404,327.81 is: 871,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,504.31 : 404,327.81 = 404,327.81 : x
  2. Step 2: Convert to fraction form
    187,504.31/404,327.81 = 404,327.81/x
  3. Step 3: Cross multiply
    187,504.31x = 404,327.81 × 404,327.81
  4. Step 4: Simplify right side
    187,504.31x = 163,480,979,961.04
  5. Step 5: Solve for x
    x = 163,480,979,961.04/187,504.31
  6. Step 6: Final answer
    x = 871,878.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.