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Finding the Third Proportional to 184,419 and 278,322

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Solution

The third proportional to 184,419 and 278,322 is: 420,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,419 : 278,322 = 278,322 : x
  2. Step 2: Convert to fraction form
    184,419/278,322 = 278,322/x
  3. Step 3: Cross multiply
    184,419x = 278,322 × 278,322
  4. Step 4: Simplify right side
    184,419x = 77,463,135,684
  5. Step 5: Solve for x
    x = 77,463,135,684/184,419
  6. Step 6: Final answer
    x = 420,038.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.