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Finding the Third Proportional to 166,023 and 255,524

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Solution

The third proportional to 166,023 and 255,524 is: 393,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,023 : 255,524 = 255,524 : x
  2. Step 2: Convert to fraction form
    166,023/255,524 = 255,524/x
  3. Step 3: Cross multiply
    166,023x = 255,524 × 255,524
  4. Step 4: Simplify right side
    166,023x = 65,292,514,576
  5. Step 5: Solve for x
    x = 65,292,514,576/166,023
  6. Step 6: Final answer
    x = 393,273.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.