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Finding the Third Proportional to 166,896 and 258,774

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Solution

The third proportional to 166,896 and 258,774 is: 401,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,896 : 258,774 = 258,774 : x
  2. Step 2: Convert to fraction form
    166,896/258,774 = 258,774/x
  3. Step 3: Cross multiply
    166,896x = 258,774 × 258,774
  4. Step 4: Simplify right side
    166,896x = 66,963,983,076
  5. Step 5: Solve for x
    x = 66,963,983,076/166,896
  6. Step 6: Final answer
    x = 401,231.80

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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.