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Finding the Third Proportional to 167,012 and 350,436

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Solution

The third proportional to 167,012 and 350,436 is: 735,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,012 : 350,436 = 350,436 : x
  2. Step 2: Convert to fraction form
    167,012/350,436 = 350,436/x
  3. Step 3: Cross multiply
    167,012x = 350,436 × 350,436
  4. Step 4: Simplify right side
    167,012x = 122,805,390,096
  5. Step 5: Solve for x
    x = 122,805,390,096/167,012
  6. Step 6: Final answer
    x = 735,308.78

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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.