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Finding the Third Proportional to 196,961.81 and 305,559.56

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Solution

The third proportional to 196,961.81 and 305,559.56 is: 474,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,961.81 : 305,559.56 = 305,559.56 : x
  2. Step 2: Convert to fraction form
    196,961.81/305,559.56 = 305,559.56/x
  3. Step 3: Cross multiply
    196,961.81x = 305,559.56 × 305,559.56
  4. Step 4: Simplify right side
    196,961.81x = 93,366,646,235.19
  5. Step 5: Solve for x
    x = 93,366,646,235.19/196,961.81
  6. Step 6: Final answer
    x = 474,034.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.