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Finding the Third Proportional to 187,694 and 283,155

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Solution

The third proportional to 187,694 and 283,155 is: 427,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,694 : 283,155 = 283,155 : x
  2. Step 2: Convert to fraction form
    187,694/283,155 = 283,155/x
  3. Step 3: Cross multiply
    187,694x = 283,155 × 283,155
  4. Step 4: Simplify right side
    187,694x = 80,176,754,025
  5. Step 5: Solve for x
    x = 80,176,754,025/187,694
  6. Step 6: Final answer
    x = 427,167.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.