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Finding the Third Proportional to 187,884 and 331,134

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Solution

The third proportional to 187,884 and 331,134 is: 583,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,884 : 331,134 = 331,134 : x
  2. Step 2: Convert to fraction form
    187,884/331,134 = 331,134/x
  3. Step 3: Cross multiply
    187,884x = 331,134 × 331,134
  4. Step 4: Simplify right side
    187,884x = 109,649,725,956
  5. Step 5: Solve for x
    x = 109,649,725,956/187,884
  6. Step 6: Final answer
    x = 583,603.32

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.