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Finding the Third Proportional to 113,553 and 234,393

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Solution

The third proportional to 113,553 and 234,393 is: 483,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,553 : 234,393 = 234,393 : x
  2. Step 2: Convert to fraction form
    113,553/234,393 = 234,393/x
  3. Step 3: Cross multiply
    113,553x = 234,393 × 234,393
  4. Step 4: Simplify right side
    113,553x = 54,940,078,449
  5. Step 5: Solve for x
    x = 54,940,078,449/113,553
  6. Step 6: Final answer
    x = 483,827.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.