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Finding the Third Proportional to 179,849.25 and 393,959.25

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Solution

The third proportional to 179,849.25 and 393,959.25 is: 862,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,849.25 : 393,959.25 = 393,959.25 : x
  2. Step 2: Convert to fraction form
    179,849.25/393,959.25 = 393,959.25/x
  3. Step 3: Cross multiply
    179,849.25x = 393,959.25 × 393,959.25
  4. Step 4: Simplify right side
    179,849.25x = 155,203,890,660.56
  5. Step 5: Solve for x
    x = 155,203,890,660.56/179,849.25
  6. Step 6: Final answer
    x = 862,966.57

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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.