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Finding the Third Proportional to 166,319 and 260,605.25

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Solution

The third proportional to 166,319 and 260,605.25 is: 408,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,319 : 260,605.25 = 260,605.25 : x
  2. Step 2: Convert to fraction form
    166,319/260,605.25 = 260,605.25/x
  3. Step 3: Cross multiply
    166,319x = 260,605.25 × 260,605.25
  4. Step 4: Simplify right side
    166,319x = 67,915,096,327.56
  5. Step 5: Solve for x
    x = 67,915,096,327.56/166,319
  6. Step 6: Final answer
    x = 408,342.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.