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Finding the Third Proportional to 179,969.63 and 393,836.63

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Solution

The third proportional to 179,969.63 and 393,836.63 is: 861,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,969.63 : 393,836.63 = 393,836.63 : x
  2. Step 2: Convert to fraction form
    179,969.63/393,836.63 = 393,836.63/x
  3. Step 3: Cross multiply
    179,969.63x = 393,836.63 × 393,836.63
  4. Step 4: Simplify right side
    179,969.63x = 155,107,287,191.39
  5. Step 5: Solve for x
    x = 155,107,287,191.39/179,969.63
  6. Step 6: Final answer
    x = 861,852.59

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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.