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Finding the Third Proportional to 120,178 and 184,823

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Solution

The third proportional to 120,178 and 184,823 is: 284,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178 : 184,823 = 184,823 : x
  2. Step 2: Convert to fraction form
    120,178/184,823 = 184,823/x
  3. Step 3: Cross multiply
    120,178x = 184,823 × 184,823
  4. Step 4: Simplify right side
    120,178x = 34,159,541,329
  5. Step 5: Solve for x
    x = 34,159,541,329/120,178
  6. Step 6: Final answer
    x = 284,241.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.