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Finding the Third Proportional to 184,392 and 284,777

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Solution

The third proportional to 184,392 and 284,777 is: 439,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,392 : 284,777 = 284,777 : x
  2. Step 2: Convert to fraction form
    184,392/284,777 = 284,777/x
  3. Step 3: Cross multiply
    184,392x = 284,777 × 284,777
  4. Step 4: Simplify right side
    184,392x = 81,097,939,729
  5. Step 5: Solve for x
    x = 81,097,939,729/184,392
  6. Step 6: Final answer
    x = 439,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.