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Finding the Third Proportional to 205,391 and 274,728

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Solution

The third proportional to 205,391 and 274,728 is: 367,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,391 : 274,728 = 274,728 : x
  2. Step 2: Convert to fraction form
    205,391/274,728 = 274,728/x
  3. Step 3: Cross multiply
    205,391x = 274,728 × 274,728
  4. Step 4: Simplify right side
    205,391x = 75,475,473,984
  5. Step 5: Solve for x
    x = 75,475,473,984/205,391
  6. Step 6: Final answer
    x = 367,472.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.