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Finding the Third Proportional to 105,784 and 230,857

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Solution

The third proportional to 105,784 and 230,857 is: 503,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,784 : 230,857 = 230,857 : x
  2. Step 2: Convert to fraction form
    105,784/230,857 = 230,857/x
  3. Step 3: Cross multiply
    105,784x = 230,857 × 230,857
  4. Step 4: Simplify right side
    105,784x = 53,294,954,449
  5. Step 5: Solve for x
    x = 53,294,954,449/105,784
  6. Step 6: Final answer
    x = 503,809.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.