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Finding the Third Proportional to 187,517 and 404,355

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Solution

The third proportional to 187,517 and 404,355 is: 871,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,517 : 404,355 = 404,355 : x
  2. Step 2: Convert to fraction form
    187,517/404,355 = 404,355/x
  3. Step 3: Cross multiply
    187,517x = 404,355 × 404,355
  4. Step 4: Simplify right side
    187,517x = 163,502,966,025
  5. Step 5: Solve for x
    x = 163,502,966,025/187,517
  6. Step 6: Final answer
    x = 871,936.76

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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.