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Finding the Third Proportional to 187,926 and 291,177

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Solution

The third proportional to 187,926 and 291,177 is: 451,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,926 : 291,177 = 291,177 : x
  2. Step 2: Convert to fraction form
    187,926/291,177 = 291,177/x
  3. Step 3: Cross multiply
    187,926x = 291,177 × 291,177
  4. Step 4: Simplify right side
    187,926x = 84,784,045,329
  5. Step 5: Solve for x
    x = 84,784,045,329/187,926
  6. Step 6: Final answer
    x = 451,156.55

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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.