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Finding the Third Proportional to 192,603 and 463,997.50

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Solution

The third proportional to 192,603 and 463,997.50 is: 1,117,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,603 : 463,997.50 = 463,997.50 : x
  2. Step 2: Convert to fraction form
    192,603/463,997.50 = 463,997.50/x
  3. Step 3: Cross multiply
    192,603x = 463,997.50 × 463,997.50
  4. Step 4: Simplify right side
    192,603x = 215,293,680,006.25
  5. Step 5: Solve for x
    x = 215,293,680,006.25/192,603
  6. Step 6: Final answer
    x = 1,117,810.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.