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Finding the Third Proportional to 166,870 and 366,984

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Solution

The third proportional to 166,870 and 366,984 is: 807,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,870 : 366,984 = 366,984 : x
  2. Step 2: Convert to fraction form
    166,870/366,984 = 366,984/x
  3. Step 3: Cross multiply
    166,870x = 366,984 × 366,984
  4. Step 4: Simplify right side
    166,870x = 134,677,256,256
  5. Step 5: Solve for x
    x = 134,677,256,256/166,870
  6. Step 6: Final answer
    x = 807,078.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.