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Finding the Third Proportional to 103,623 and 230,727

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Solution

The third proportional to 103,623 and 230,727 is: 513,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,623 : 230,727 = 230,727 : x
  2. Step 2: Convert to fraction form
    103,623/230,727 = 230,727/x
  3. Step 3: Cross multiply
    103,623x = 230,727 × 230,727
  4. Step 4: Simplify right side
    103,623x = 53,234,948,529
  5. Step 5: Solve for x
    x = 53,234,948,529/103,623
  6. Step 6: Final answer
    x = 513,736.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.