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Finding the Third Proportional to 187,211 and 403,944

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Solution

The third proportional to 187,211 and 403,944 is: 871,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,211 : 403,944 = 403,944 : x
  2. Step 2: Convert to fraction form
    187,211/403,944 = 403,944/x
  3. Step 3: Cross multiply
    187,211x = 403,944 × 403,944
  4. Step 4: Simplify right side
    187,211x = 163,170,755,136
  5. Step 5: Solve for x
    x = 163,170,755,136/187,211
  6. Step 6: Final answer
    x = 871,587.43

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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.