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Finding the Third Proportional to 166,591 and 237,426

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Solution

The third proportional to 166,591 and 237,426 is: 338,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,591 : 237,426 = 237,426 : x
  2. Step 2: Convert to fraction form
    166,591/237,426 = 237,426/x
  3. Step 3: Cross multiply
    166,591x = 237,426 × 237,426
  4. Step 4: Simplify right side
    166,591x = 56,371,105,476
  5. Step 5: Solve for x
    x = 56,371,105,476/166,591
  6. Step 6: Final answer
    x = 338,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.