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Finding the Third Proportional to 166,536 and 366,288

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Solution

The third proportional to 166,536 and 366,288 is: 805,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,536 : 366,288 = 366,288 : x
  2. Step 2: Convert to fraction form
    166,536/366,288 = 366,288/x
  3. Step 3: Cross multiply
    166,536x = 366,288 × 366,288
  4. Step 4: Simplify right side
    166,536x = 134,166,898,944
  5. Step 5: Solve for x
    x = 134,166,898,944/166,536
  6. Step 6: Final answer
    x = 805,633.01

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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.