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Finding the Third Proportional to 166,944 and 364,560

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Solution

The third proportional to 166,944 and 364,560 is: 796,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,944 : 364,560 = 364,560 : x
  2. Step 2: Convert to fraction form
    166,944/364,560 = 364,560/x
  3. Step 3: Cross multiply
    166,944x = 364,560 × 364,560
  4. Step 4: Simplify right side
    166,944x = 132,903,993,600
  5. Step 5: Solve for x
    x = 132,903,993,600/166,944
  6. Step 6: Final answer
    x = 796,099.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.