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Finding the Third Proportional to 226,804 and 341,961

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Solution

The third proportional to 226,804 and 341,961 is: 515,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,804 : 341,961 = 341,961 : x
  2. Step 2: Convert to fraction form
    226,804/341,961 = 341,961/x
  3. Step 3: Cross multiply
    226,804x = 341,961 × 341,961
  4. Step 4: Simplify right side
    226,804x = 116,937,325,521
  5. Step 5: Solve for x
    x = 116,937,325,521/226,804
  6. Step 6: Final answer
    x = 515,587.58

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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.