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Finding the Third Proportional to 166,904 and 362,122

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Solution

The third proportional to 166,904 and 362,122 is: 785,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,904 : 362,122 = 362,122 : x
  2. Step 2: Convert to fraction form
    166,904/362,122 = 362,122/x
  3. Step 3: Cross multiply
    166,904x = 362,122 × 362,122
  4. Step 4: Simplify right side
    166,904x = 131,132,342,884
  5. Step 5: Solve for x
    x = 131,132,342,884/166,904
  6. Step 6: Final answer
    x = 785,675.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.