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Finding the Third Proportional to 166,900 and 360,028

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Solution

The third proportional to 166,900 and 360,028 is: 776,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,900 : 360,028 = 360,028 : x
  2. Step 2: Convert to fraction form
    166,900/360,028 = 360,028/x
  3. Step 3: Cross multiply
    166,900x = 360,028 × 360,028
  4. Step 4: Simplify right side
    166,900x = 129,620,160,784
  5. Step 5: Solve for x
    x = 129,620,160,784/166,900
  6. Step 6: Final answer
    x = 776,633.68

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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.