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Finding the Third Proportional to 184,429 and 283,610

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Solution

The third proportional to 184,429 and 283,610 is: 436,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,429 : 283,610 = 283,610 : x
  2. Step 2: Convert to fraction form
    184,429/283,610 = 283,610/x
  3. Step 3: Cross multiply
    184,429x = 283,610 × 283,610
  4. Step 4: Simplify right side
    184,429x = 80,434,632,100
  5. Step 5: Solve for x
    x = 80,434,632,100/184,429
  6. Step 6: Final answer
    x = 436,127.90

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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.