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Finding the Third Proportional to 166,146 and 354,042

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Solution

The third proportional to 166,146 and 354,042 is: 754,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,146 : 354,042 = 354,042 : x
  2. Step 2: Convert to fraction form
    166,146/354,042 = 354,042/x
  3. Step 3: Cross multiply
    166,146x = 354,042 × 354,042
  4. Step 4: Simplify right side
    166,146x = 125,345,737,764
  5. Step 5: Solve for x
    x = 125,345,737,764/166,146
  6. Step 6: Final answer
    x = 754,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.