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Finding the Third Proportional to 196,755.75 and 423,616.50

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Solution

The third proportional to 196,755.75 and 423,616.50 is: 912,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,755.75 : 423,616.50 = 423,616.50 : x
  2. Step 2: Convert to fraction form
    196,755.75/423,616.50 = 423,616.50/x
  3. Step 3: Cross multiply
    196,755.75x = 423,616.50 × 423,616.50
  4. Step 4: Simplify right side
    196,755.75x = 179,450,939,072.25
  5. Step 5: Solve for x
    x = 179,450,939,072.25/196,755.75
  6. Step 6: Final answer
    x = 912,049.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.