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Finding the Third Proportional to 184,824 and 376,347

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Solution

The third proportional to 184,824 and 376,347 is: 766,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,824 : 376,347 = 376,347 : x
  2. Step 2: Convert to fraction form
    184,824/376,347 = 376,347/x
  3. Step 3: Cross multiply
    184,824x = 376,347 × 376,347
  4. Step 4: Simplify right side
    184,824x = 141,637,064,409
  5. Step 5: Solve for x
    x = 141,637,064,409/184,824
  6. Step 6: Final answer
    x = 766,334.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.