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Finding the Third Proportional to 167,476 and 227,417

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Solution

The third proportional to 167,476 and 227,417 is: 308,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,476 : 227,417 = 227,417 : x
  2. Step 2: Convert to fraction form
    167,476/227,417 = 227,417/x
  3. Step 3: Cross multiply
    167,476x = 227,417 × 227,417
  4. Step 4: Simplify right side
    167,476x = 51,718,491,889
  5. Step 5: Solve for x
    x = 51,718,491,889/167,476
  6. Step 6: Final answer
    x = 308,811.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.