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Finding the Third Proportional to 105,794 and 230,580

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Solution

The third proportional to 105,794 and 230,580 is: 502,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794 : 230,580 = 230,580 : x
  2. Step 2: Convert to fraction form
    105,794/230,580 = 230,580/x
  3. Step 3: Cross multiply
    105,794x = 230,580 × 230,580
  4. Step 4: Simplify right side
    105,794x = 53,167,136,400
  5. Step 5: Solve for x
    x = 53,167,136,400/105,794
  6. Step 6: Final answer
    x = 502,553.42

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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.