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Finding the Third Proportional to 166,050 and 343,916

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Solution

The third proportional to 166,050 and 343,916 is: 712,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,050 : 343,916 = 343,916 : x
  2. Step 2: Convert to fraction form
    166,050/343,916 = 343,916/x
  3. Step 3: Cross multiply
    166,050x = 343,916 × 343,916
  4. Step 4: Simplify right side
    166,050x = 118,278,215,056
  5. Step 5: Solve for x
    x = 118,278,215,056/166,050
  6. Step 6: Final answer
    x = 712,304.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.