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Finding the Third Proportional to 179,959.13 and 393,816.75

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Solution

The third proportional to 179,959.13 and 393,816.75 is: 861,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,959.13 : 393,816.75 = 393,816.75 : x
  2. Step 2: Convert to fraction form
    179,959.13/393,816.75 = 393,816.75/x
  3. Step 3: Cross multiply
    179,959.13x = 393,816.75 × 393,816.75
  4. Step 4: Simplify right side
    179,959.13x = 155,091,632,580.56
  5. Step 5: Solve for x
    x = 155,091,632,580.56/179,959.13
  6. Step 6: Final answer
    x = 861,815.89

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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.