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Finding the Third Proportional to 84,228 and 184,281

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Solution

The third proportional to 84,228 and 184,281 is: 403,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,228 : 184,281 = 184,281 : x
  2. Step 2: Convert to fraction form
    84,228/184,281 = 184,281/x
  3. Step 3: Cross multiply
    84,228x = 184,281 × 184,281
  4. Step 4: Simplify right side
    84,228x = 33,959,486,961
  5. Step 5: Solve for x
    x = 33,959,486,961/84,228
  6. Step 6: Final answer
    x = 403,185.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.