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Finding the Third Proportional to 105,046 and 224,857

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Solution

The third proportional to 105,046 and 224,857 is: 481,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046 : 224,857 = 224,857 : x
  2. Step 2: Convert to fraction form
    105,046/224,857 = 224,857/x
  3. Step 3: Cross multiply
    105,046x = 224,857 × 224,857
  4. Step 4: Simplify right side
    105,046x = 50,560,670,449
  5. Step 5: Solve for x
    x = 50,560,670,449/105,046
  6. Step 6: Final answer
    x = 481,319.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.