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Finding the Third Proportional to 184,745 and 270,536

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Solution

The third proportional to 184,745 and 270,536 is: 396,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,745 : 270,536 = 270,536 : x
  2. Step 2: Convert to fraction form
    184,745/270,536 = 270,536/x
  3. Step 3: Cross multiply
    184,745x = 270,536 × 270,536
  4. Step 4: Simplify right side
    184,745x = 73,189,727,296
  5. Step 5: Solve for x
    x = 73,189,727,296/184,745
  6. Step 6: Final answer
    x = 396,166.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.