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Finding the Third Proportional to 166,319.13 and 260,605.38

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Solution

The third proportional to 166,319.13 and 260,605.38 is: 408,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,319.13 : 260,605.38 = 260,605.38 : x
  2. Step 2: Convert to fraction form
    166,319.13/260,605.38 = 260,605.38/x
  3. Step 3: Cross multiply
    166,319.13x = 260,605.38 × 260,605.38
  4. Step 4: Simplify right side
    166,319.13x = 67,915,161,478.89
  5. Step 5: Solve for x
    x = 67,915,161,478.89/166,319.13
  6. Step 6: Final answer
    x = 408,342.46

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