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Finding the Third Proportional to 187,793 and 291,224

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Solution

The third proportional to 187,793 and 291,224 is: 451,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,793 : 291,224 = 291,224 : x
  2. Step 2: Convert to fraction form
    187,793/291,224 = 291,224/x
  3. Step 3: Cross multiply
    187,793x = 291,224 × 291,224
  4. Step 4: Simplify right side
    187,793x = 84,811,418,176
  5. Step 5: Solve for x
    x = 84,811,418,176/187,793
  6. Step 6: Final answer
    x = 451,621.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.