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Finding the Third Proportional to 166,072 and 234,025

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Solution

The third proportional to 166,072 and 234,025 is: 329,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,072 : 234,025 = 234,025 : x
  2. Step 2: Convert to fraction form
    166,072/234,025 = 234,025/x
  3. Step 3: Cross multiply
    166,072x = 234,025 × 234,025
  4. Step 4: Simplify right side
    166,072x = 54,767,700,625
  5. Step 5: Solve for x
    x = 54,767,700,625/166,072
  6. Step 6: Final answer
    x = 329,782.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.