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Finding the Third Proportional to 196,500.94 and 424,379.25

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Solution

The third proportional to 196,500.94 and 424,379.25 is: 916,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,500.94 : 424,379.25 = 424,379.25 : x
  2. Step 2: Convert to fraction form
    196,500.94/424,379.25 = 424,379.25/x
  3. Step 3: Cross multiply
    196,500.94x = 424,379.25 × 424,379.25
  4. Step 4: Simplify right side
    196,500.94x = 180,097,747,830.56
  5. Step 5: Solve for x
    x = 180,097,747,830.56/196,500.94
  6. Step 6: Final answer
    x = 916,523.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.