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Finding the Third Proportional to 184,047 and 389,314

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Solution

The third proportional to 184,047 and 389,314 is: 823,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,047 : 389,314 = 389,314 : x
  2. Step 2: Convert to fraction form
    184,047/389,314 = 389,314/x
  3. Step 3: Cross multiply
    184,047x = 389,314 × 389,314
  4. Step 4: Simplify right side
    184,047x = 151,565,390,596
  5. Step 5: Solve for x
    x = 151,565,390,596/184,047
  6. Step 6: Final answer
    x = 823,514.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.