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Finding the Third Proportional to 166,151 and 251,210

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Solution

The third proportional to 166,151 and 251,210 is: 379,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,151 : 251,210 = 251,210 : x
  2. Step 2: Convert to fraction form
    166,151/251,210 = 251,210/x
  3. Step 3: Cross multiply
    166,151x = 251,210 × 251,210
  4. Step 4: Simplify right side
    166,151x = 63,106,464,100
  5. Step 5: Solve for x
    x = 63,106,464,100/166,151
  6. Step 6: Final answer
    x = 379,813.93

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