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Finding the Third Proportional to 196,809.75 and 284,466.94

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Solution

The third proportional to 196,809.75 and 284,466.94 is: 411,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809.75 : 284,466.94 = 284,466.94 : x
  2. Step 2: Convert to fraction form
    196,809.75/284,466.94 = 284,466.94/x
  3. Step 3: Cross multiply
    196,809.75x = 284,466.94 × 284,466.94
  4. Step 4: Simplify right side
    196,809.75x = 80,921,438,530.63
  5. Step 5: Solve for x
    x = 80,921,438,530.63/196,809.75
  6. Step 6: Final answer
    x = 411,165.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.