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Finding the Third Proportional to 184,006 and 247,284

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Solution

The third proportional to 184,006 and 247,284 is: 332,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,006 : 247,284 = 247,284 : x
  2. Step 2: Convert to fraction form
    184,006/247,284 = 247,284/x
  3. Step 3: Cross multiply
    184,006x = 247,284 × 247,284
  4. Step 4: Simplify right side
    184,006x = 61,149,376,656
  5. Step 5: Solve for x
    x = 61,149,376,656/184,006
  6. Step 6: Final answer
    x = 332,322.73

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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.