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Finding the Third Proportional to 166,626 and 237,471

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Solution

The third proportional to 166,626 and 237,471 is: 338,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,626 : 237,471 = 237,471 : x
  2. Step 2: Convert to fraction form
    166,626/237,471 = 237,471/x
  3. Step 3: Cross multiply
    166,626x = 237,471 × 237,471
  4. Step 4: Simplify right side
    166,626x = 56,392,475,841
  5. Step 5: Solve for x
    x = 56,392,475,841/166,626
  6. Step 6: Final answer
    x = 338,437.43

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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.