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Finding the Third Proportional to 226,972 and 343,616

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Solution

The third proportional to 226,972 and 343,616 is: 520,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,972 : 343,616 = 343,616 : x
  2. Step 2: Convert to fraction form
    226,972/343,616 = 343,616/x
  3. Step 3: Cross multiply
    226,972x = 343,616 × 343,616
  4. Step 4: Simplify right side
    226,972x = 118,071,955,456
  5. Step 5: Solve for x
    x = 118,071,955,456/226,972
  6. Step 6: Final answer
    x = 520,204.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.