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Finding the Third Proportional to 179,942.63 and 393,783.75

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Solution

The third proportional to 179,942.63 and 393,783.75 is: 861,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,942.63 : 393,783.75 = 393,783.75 : x
  2. Step 2: Convert to fraction form
    179,942.63/393,783.75 = 393,783.75/x
  3. Step 3: Cross multiply
    179,942.63x = 393,783.75 × 393,783.75
  4. Step 4: Simplify right side
    179,942.63x = 155,065,641,764.06
  5. Step 5: Solve for x
    x = 155,065,641,764.06/179,942.63
  6. Step 6: Final answer
    x = 861,750.47

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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.