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Finding the Third Proportional to 84,614 and 184,407

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Solution

The third proportional to 84,614 and 184,407 is: 401,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,614 : 184,407 = 184,407 : x
  2. Step 2: Convert to fraction form
    84,614/184,407 = 184,407/x
  3. Step 3: Cross multiply
    84,614x = 184,407 × 184,407
  4. Step 4: Simplify right side
    84,614x = 34,005,941,649
  5. Step 5: Solve for x
    x = 34,005,941,649/84,614
  6. Step 6: Final answer
    x = 401,894.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.