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Finding the Third Proportional to 166,966 and 360,236

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Solution

The third proportional to 166,966 and 360,236 is: 777,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,966 : 360,236 = 360,236 : x
  2. Step 2: Convert to fraction form
    166,966/360,236 = 360,236/x
  3. Step 3: Cross multiply
    166,966x = 360,236 × 360,236
  4. Step 4: Simplify right side
    166,966x = 129,769,975,696
  5. Step 5: Solve for x
    x = 129,769,975,696/166,966
  6. Step 6: Final answer
    x = 777,223.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.