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Finding the Third Proportional to 167,902 and 362,867

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Solution

The third proportional to 167,902 and 362,867 is: 784,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,902 : 362,867 = 362,867 : x
  2. Step 2: Convert to fraction form
    167,902/362,867 = 362,867/x
  3. Step 3: Cross multiply
    167,902x = 362,867 × 362,867
  4. Step 4: Simplify right side
    167,902x = 131,672,459,689
  5. Step 5: Solve for x
    x = 131,672,459,689/167,902
  6. Step 6: Final answer
    x = 784,222.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.