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Finding the Third Proportional to 179,979 and 393,858

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Solution

The third proportional to 179,979 and 393,858 is: 861,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,979 : 393,858 = 393,858 : x
  2. Step 2: Convert to fraction form
    179,979/393,858 = 393,858/x
  3. Step 3: Cross multiply
    179,979x = 393,858 × 393,858
  4. Step 4: Simplify right side
    179,979x = 155,124,124,164
  5. Step 5: Solve for x
    x = 155,124,124,164/179,979
  6. Step 6: Final answer
    x = 861,901.24

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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.