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Finding the Third Proportional to 196,890.75 and 429,418.13

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Solution

The third proportional to 196,890.75 and 429,418.13 is: 936,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,890.75 : 429,418.13 = 429,418.13 : x
  2. Step 2: Convert to fraction form
    196,890.75/429,418.13 = 429,418.13/x
  3. Step 3: Cross multiply
    196,890.75x = 429,418.13 × 429,418.13
  4. Step 4: Simplify right side
    196,890.75x = 184,399,926,078.52
  5. Step 5: Solve for x
    x = 184,399,926,078.52/196,890.75
  6. Step 6: Final answer
    x = 936,559.62

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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.