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Finding the Third Proportional to 166,974 and 258,240

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Solution

The third proportional to 166,974 and 258,240 is: 399,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,974 : 258,240 = 258,240 : x
  2. Step 2: Convert to fraction form
    166,974/258,240 = 258,240/x
  3. Step 3: Cross multiply
    166,974x = 258,240 × 258,240
  4. Step 4: Simplify right side
    166,974x = 66,687,897,600
  5. Step 5: Solve for x
    x = 66,687,897,600/166,974
  6. Step 6: Final answer
    x = 399,390.91

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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.