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Finding the Third Proportional to 167,422 and 351,191

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Solution

The third proportional to 167,422 and 351,191 is: 736,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,422 : 351,191 = 351,191 : x
  2. Step 2: Convert to fraction form
    167,422/351,191 = 351,191/x
  3. Step 3: Cross multiply
    167,422x = 351,191 × 351,191
  4. Step 4: Simplify right side
    167,422x = 123,335,118,481
  5. Step 5: Solve for x
    x = 123,335,118,481/167,422
  6. Step 6: Final answer
    x = 736,672.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.