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Finding the Third Proportional to 166,882.78 and 258,327.98

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Solution

The third proportional to 166,882.78 and 258,327.98 is: 399,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,882.78 : 258,327.98 = 258,327.98 : x
  2. Step 2: Convert to fraction form
    166,882.78/258,327.98 = 258,327.98/x
  3. Step 3: Cross multiply
    166,882.78x = 258,327.98 × 258,327.98
  4. Step 4: Simplify right side
    166,882.78x = 66,733,347,511.25
  5. Step 5: Solve for x
    x = 66,733,347,511.25/166,882.78
  6. Step 6: Final answer
    x = 399,881.56

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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.