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Finding the Third Proportional to 85,494 and 186,717

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Solution

The third proportional to 85,494 and 186,717 is: 407,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494 : 186,717 = 186,717 : x
  2. Step 2: Convert to fraction form
    85,494/186,717 = 186,717/x
  3. Step 3: Cross multiply
    85,494x = 186,717 × 186,717
  4. Step 4: Simplify right side
    85,494x = 34,863,238,089
  5. Step 5: Solve for x
    x = 34,863,238,089/85,494
  6. Step 6: Final answer
    x = 407,785.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.