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Finding the Third Proportional to 179,977 and 393,854

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Solution

The third proportional to 179,977 and 393,854 is: 861,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,977 : 393,854 = 393,854 : x
  2. Step 2: Convert to fraction form
    179,977/393,854 = 393,854/x
  3. Step 3: Cross multiply
    179,977x = 393,854 × 393,854
  4. Step 4: Simplify right side
    179,977x = 155,120,973,316
  5. Step 5: Solve for x
    x = 155,120,973,316/179,977
  6. Step 6: Final answer
    x = 861,893.32

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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.