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Finding the Third Proportional to 166,468 and 366,870

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Solution

The third proportional to 166,468 and 366,870 is: 808,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,468 : 366,870 = 366,870 : x
  2. Step 2: Convert to fraction form
    166,468/366,870 = 366,870/x
  3. Step 3: Cross multiply
    166,468x = 366,870 × 366,870
  4. Step 4: Simplify right side
    166,468x = 134,593,596,900
  5. Step 5: Solve for x
    x = 134,593,596,900/166,468
  6. Step 6: Final answer
    x = 808,525.34

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