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Finding the Third Proportional to 167,942 and 362,947

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Solution

The third proportional to 167,942 and 362,947 is: 784,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,942 : 362,947 = 362,947 : x
  2. Step 2: Convert to fraction form
    167,942/362,947 = 362,947/x
  3. Step 3: Cross multiply
    167,942x = 362,947 × 362,947
  4. Step 4: Simplify right side
    167,942x = 131,730,524,809
  5. Step 5: Solve for x
    x = 131,730,524,809/167,942
  6. Step 6: Final answer
    x = 784,381.06

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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.