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Finding the Third Proportional to 184,264 and 270,352

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Solution

The third proportional to 184,264 and 270,352 is: 396,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,264 : 270,352 = 270,352 : x
  2. Step 2: Convert to fraction form
    184,264/270,352 = 270,352/x
  3. Step 3: Cross multiply
    184,264x = 270,352 × 270,352
  4. Step 4: Simplify right side
    184,264x = 73,090,203,904
  5. Step 5: Solve for x
    x = 73,090,203,904/184,264
  6. Step 6: Final answer
    x = 396,660.25

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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.