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Finding the Third Proportional to 166,622 and 258,074

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Solution

The third proportional to 166,622 and 258,074 is: 399,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,622 : 258,074 = 258,074 : x
  2. Step 2: Convert to fraction form
    166,622/258,074 = 258,074/x
  3. Step 3: Cross multiply
    166,622x = 258,074 × 258,074
  4. Step 4: Simplify right side
    166,622x = 66,602,189,476
  5. Step 5: Solve for x
    x = 66,602,189,476/166,622
  6. Step 6: Final answer
    x = 399,720.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.