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Finding the Third Proportional to 166,971 and 371,262

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Solution

The third proportional to 166,971 and 371,262 is: 825,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,971 : 371,262 = 371,262 : x
  2. Step 2: Convert to fraction form
    166,971/371,262 = 371,262/x
  3. Step 3: Cross multiply
    166,971x = 371,262 × 371,262
  4. Step 4: Simplify right side
    166,971x = 137,835,472,644
  5. Step 5: Solve for x
    x = 137,835,472,644/166,971
  6. Step 6: Final answer
    x = 825,505.46

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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.