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Finding the Third Proportional to 105,018 and 230,449

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Solution

The third proportional to 105,018 and 230,449 is: 505,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,018 : 230,449 = 230,449 : x
  2. Step 2: Convert to fraction form
    105,018/230,449 = 230,449/x
  3. Step 3: Cross multiply
    105,018x = 230,449 × 230,449
  4. Step 4: Simplify right side
    105,018x = 53,106,741,601
  5. Step 5: Solve for x
    x = 53,106,741,601/105,018
  6. Step 6: Final answer
    x = 505,691.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.