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Finding the Third Proportional to 184,740 and 398,322

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Solution

The third proportional to 184,740 and 398,322 is: 858,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,740 : 398,322 = 398,322 : x
  2. Step 2: Convert to fraction form
    184,740/398,322 = 398,322/x
  3. Step 3: Cross multiply
    184,740x = 398,322 × 398,322
  4. Step 4: Simplify right side
    184,740x = 158,660,415,684
  5. Step 5: Solve for x
    x = 158,660,415,684/184,740
  6. Step 6: Final answer
    x = 858,830.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.