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Finding the Third Proportional to 196,889.63 and 429,414.75

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Solution

The third proportional to 196,889.63 and 429,414.75 is: 936,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,889.63 : 429,414.75 = 429,414.75 : x
  2. Step 2: Convert to fraction form
    196,889.63/429,414.75 = 429,414.75/x
  3. Step 3: Cross multiply
    196,889.63x = 429,414.75 × 429,414.75
  4. Step 4: Simplify right side
    196,889.63x = 184,397,027,517.56
  5. Step 5: Solve for x
    x = 184,397,027,517.56/196,889.63
  6. Step 6: Final answer
    x = 936,550.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.