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Finding the Third Proportional to 184,400 and 295,752

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Solution

The third proportional to 184,400 and 295,752 is: 474,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,400 : 295,752 = 295,752 : x
  2. Step 2: Convert to fraction form
    184,400/295,752 = 295,752/x
  3. Step 3: Cross multiply
    184,400x = 295,752 × 295,752
  4. Step 4: Simplify right side
    184,400x = 87,469,245,504
  5. Step 5: Solve for x
    x = 87,469,245,504/184,400
  6. Step 6: Final answer
    x = 474,345.15

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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.