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Finding the Third Proportional to 187,884 and 411,966

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Solution

The third proportional to 187,884 and 411,966 is: 903,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,884 : 411,966 = 411,966 : x
  2. Step 2: Convert to fraction form
    187,884/411,966 = 411,966/x
  3. Step 3: Cross multiply
    187,884x = 411,966 × 411,966
  4. Step 4: Simplify right side
    187,884x = 169,715,985,156
  5. Step 5: Solve for x
    x = 169,715,985,156/187,884
  6. Step 6: Final answer
    x = 903,301.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.