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Finding the Third Proportional to 166,634 and 237,486

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Solution

The third proportional to 166,634 and 237,486 is: 338,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,634 : 237,486 = 237,486 : x
  2. Step 2: Convert to fraction form
    166,634/237,486 = 237,486/x
  3. Step 3: Cross multiply
    166,634x = 237,486 × 237,486
  4. Step 4: Simplify right side
    166,634x = 56,399,600,196
  5. Step 5: Solve for x
    x = 56,399,600,196/166,634
  6. Step 6: Final answer
    x = 338,463.94

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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.