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Finding the Third Proportional to 196,224.19 and 425,800.13

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Solution

The third proportional to 196,224.19 and 425,800.13 is: 923,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224.19 : 425,800.13 = 425,800.13 : x
  2. Step 2: Convert to fraction form
    196,224.19/425,800.13 = 425,800.13/x
  3. Step 3: Cross multiply
    196,224.19x = 425,800.13 × 425,800.13
  4. Step 4: Simplify right side
    196,224.19x = 181,305,746,450.02
  5. Step 5: Solve for x
    x = 181,305,746,450.02/196,224.19
  6. Step 6: Final answer
    x = 923,972.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.