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Finding the Third Proportional to 184,226 and 270,294

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Solution

The third proportional to 184,226 and 270,294 is: 396,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,226 : 270,294 = 270,294 : x
  2. Step 2: Convert to fraction form
    184,226/270,294 = 270,294/x
  3. Step 3: Cross multiply
    184,226x = 270,294 × 270,294
  4. Step 4: Simplify right side
    184,226x = 73,058,846,436
  5. Step 5: Solve for x
    x = 73,058,846,436/184,226
  6. Step 6: Final answer
    x = 396,571.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.