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Finding the Third Proportional to 166,698 and 250,065

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Solution

The third proportional to 166,698 and 250,065 is: 375,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,698 : 250,065 = 250,065 : x
  2. Step 2: Convert to fraction form
    166,698/250,065 = 250,065/x
  3. Step 3: Cross multiply
    166,698x = 250,065 × 250,065
  4. Step 4: Simplify right side
    166,698x = 62,532,504,225
  5. Step 5: Solve for x
    x = 62,532,504,225/166,698
  6. Step 6: Final answer
    x = 375,124.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.