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Finding the Third Proportional to 226,838 and 335,083

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Solution

The third proportional to 226,838 and 335,083 is: 494,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,838 : 335,083 = 335,083 : x
  2. Step 2: Convert to fraction form
    226,838/335,083 = 335,083/x
  3. Step 3: Cross multiply
    226,838x = 335,083 × 335,083
  4. Step 4: Simplify right side
    226,838x = 112,280,616,889
  5. Step 5: Solve for x
    x = 112,280,616,889/226,838
  6. Step 6: Final answer
    x = 494,981.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.