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Finding the Third Proportional to 166,836 and 359,914

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Solution

The third proportional to 166,836 and 359,914 is: 776,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,836 : 359,914 = 359,914 : x
  2. Step 2: Convert to fraction form
    166,836/359,914 = 359,914/x
  3. Step 3: Cross multiply
    166,836x = 359,914 × 359,914
  4. Step 4: Simplify right side
    166,836x = 129,538,087,396
  5. Step 5: Solve for x
    x = 129,538,087,396/166,836
  6. Step 6: Final answer
    x = 776,439.66

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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.