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Finding the Third Proportional to 166,834.88 and 258,546.75

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Solution

The third proportional to 166,834.88 and 258,546.75 is: 400,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,834.88 : 258,546.75 = 258,546.75 : x
  2. Step 2: Convert to fraction form
    166,834.88/258,546.75 = 258,546.75/x
  3. Step 3: Cross multiply
    166,834.88x = 258,546.75 × 258,546.75
  4. Step 4: Simplify right side
    166,834.88x = 66,846,421,935.56
  5. Step 5: Solve for x
    x = 66,846,421,935.56/166,834.88
  6. Step 6: Final answer
    x = 400,674.15

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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.