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Finding the Third Proportional to 166,772 and 258,623

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Solution

The third proportional to 166,772 and 258,623 is: 401,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,772 : 258,623 = 258,623 : x
  2. Step 2: Convert to fraction form
    166,772/258,623 = 258,623/x
  3. Step 3: Cross multiply
    166,772x = 258,623 × 258,623
  4. Step 4: Simplify right side
    166,772x = 66,885,856,129
  5. Step 5: Solve for x
    x = 66,885,856,129/166,772
  6. Step 6: Final answer
    x = 401,061.67

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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.