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Finding the Third Proportional to 184,292 and 270,552

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Solution

The third proportional to 184,292 and 270,552 is: 397,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,292 : 270,552 = 270,552 : x
  2. Step 2: Convert to fraction form
    184,292/270,552 = 270,552/x
  3. Step 3: Cross multiply
    184,292x = 270,552 × 270,552
  4. Step 4: Simplify right side
    184,292x = 73,198,384,704
  5. Step 5: Solve for x
    x = 73,198,384,704/184,292
  6. Step 6: Final answer
    x = 397,186.99

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Why These Related Problems?

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