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Finding the Third Proportional to 87,463 and 193,303

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Solution

The third proportional to 87,463 and 193,303 is: 427,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,463 : 193,303 = 193,303 : x
  2. Step 2: Convert to fraction form
    87,463/193,303 = 193,303/x
  3. Step 3: Cross multiply
    87,463x = 193,303 × 193,303
  4. Step 4: Simplify right side
    87,463x = 37,366,049,809
  5. Step 5: Solve for x
    x = 37,366,049,809/87,463
  6. Step 6: Final answer
    x = 427,221.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.