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Finding the Third Proportional to 166,946 and 371,214

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Solution

The third proportional to 166,946 and 371,214 is: 825,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,946 : 371,214 = 371,214 : x
  2. Step 2: Convert to fraction form
    166,946/371,214 = 371,214/x
  3. Step 3: Cross multiply
    166,946x = 371,214 × 371,214
  4. Step 4: Simplify right side
    166,946x = 137,799,833,796
  5. Step 5: Solve for x
    x = 137,799,833,796/166,946
  6. Step 6: Final answer
    x = 825,415.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.