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Finding the Third Proportional to 184,194 and 295,488

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Solution

The third proportional to 184,194 and 295,488 is: 474,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,194 : 295,488 = 295,488 : x
  2. Step 2: Convert to fraction form
    184,194/295,488 = 295,488/x
  3. Step 3: Cross multiply
    184,194x = 295,488 × 295,488
  4. Step 4: Simplify right side
    184,194x = 87,313,158,144
  5. Step 5: Solve for x
    x = 87,313,158,144/184,194
  6. Step 6: Final answer
    x = 474,028.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.