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Finding the Third Proportional to 199,800 and 425,024

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Solution

The third proportional to 199,800 and 425,024 is: 904,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,800 : 425,024 = 425,024 : x
  2. Step 2: Convert to fraction form
    199,800/425,024 = 425,024/x
  3. Step 3: Cross multiply
    199,800x = 425,024 × 425,024
  4. Step 4: Simplify right side
    199,800x = 180,645,400,576
  5. Step 5: Solve for x
    x = 180,645,400,576/199,800
  6. Step 6: Final answer
    x = 904,131.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.