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Finding the Third Proportional to 166,898 and 258,592

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Solution

The third proportional to 166,898 and 258,592 is: 400,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,898 : 258,592 = 258,592 : x
  2. Step 2: Convert to fraction form
    166,898/258,592 = 258,592/x
  3. Step 3: Cross multiply
    166,898x = 258,592 × 258,592
  4. Step 4: Simplify right side
    166,898x = 66,869,822,464
  5. Step 5: Solve for x
    x = 66,869,822,464/166,898
  6. Step 6: Final answer
    x = 400,662.81

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