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Finding the Third Proportional to 180,022 and 393,932

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Solution

The third proportional to 180,022 and 393,932 is: 862,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,022 : 393,932 = 393,932 : x
  2. Step 2: Convert to fraction form
    180,022/393,932 = 393,932/x
  3. Step 3: Cross multiply
    180,022x = 393,932 × 393,932
  4. Step 4: Simplify right side
    180,022x = 155,182,420,624
  5. Step 5: Solve for x
    x = 155,182,420,624/180,022
  6. Step 6: Final answer
    x = 862,019.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.