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Finding the Third Proportional to 187,722 and 286,227

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Solution

The third proportional to 187,722 and 286,227 is: 436,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,722 : 286,227 = 286,227 : x
  2. Step 2: Convert to fraction form
    187,722/286,227 = 286,227/x
  3. Step 3: Cross multiply
    187,722x = 286,227 × 286,227
  4. Step 4: Simplify right side
    187,722x = 81,925,895,529
  5. Step 5: Solve for x
    x = 81,925,895,529/187,722
  6. Step 6: Final answer
    x = 436,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.