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Finding the Third Proportional to 166,256 and 251,130

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Solution

The third proportional to 166,256 and 251,130 is: 379,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,256 : 251,130 = 251,130 : x
  2. Step 2: Convert to fraction form
    166,256/251,130 = 251,130/x
  3. Step 3: Cross multiply
    166,256x = 251,130 × 251,130
  4. Step 4: Simplify right side
    166,256x = 63,066,276,900
  5. Step 5: Solve for x
    x = 63,066,276,900/166,256
  6. Step 6: Final answer
    x = 379,332.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.