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Finding the Third Proportional to 166,901 and 256,184

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Solution

The third proportional to 166,901 and 256,184 is: 393,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,901 : 256,184 = 256,184 : x
  2. Step 2: Convert to fraction form
    166,901/256,184 = 256,184/x
  3. Step 3: Cross multiply
    166,901x = 256,184 × 256,184
  4. Step 4: Simplify right side
    166,901x = 65,630,241,856
  5. Step 5: Solve for x
    x = 65,630,241,856/166,901
  6. Step 6: Final answer
    x = 393,228.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.