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Finding the Third Proportional to 166,014 and 255,062.25

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Solution

The third proportional to 166,014 and 255,062.25 is: 391,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,014 : 255,062.25 = 255,062.25 : x
  2. Step 2: Convert to fraction form
    166,014/255,062.25 = 255,062.25/x
  3. Step 3: Cross multiply
    166,014x = 255,062.25 × 255,062.25
  4. Step 4: Simplify right side
    166,014x = 65,056,751,375.06
  5. Step 5: Solve for x
    x = 65,056,751,375.06/166,014
  6. Step 6: Final answer
    x = 391,875.09

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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.