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Finding the Third Proportional to 84,824 and 184,264

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Solution

The third proportional to 84,824 and 184,264 is: 400,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,824 : 184,264 = 184,264 : x
  2. Step 2: Convert to fraction form
    84,824/184,264 = 184,264/x
  3. Step 3: Cross multiply
    84,824x = 184,264 × 184,264
  4. Step 4: Simplify right side
    84,824x = 33,953,221,696
  5. Step 5: Solve for x
    x = 33,953,221,696/84,824
  6. Step 6: Final answer
    x = 400,278.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.