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Finding the Third Proportional to 120,176 and 184,820

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Solution

The third proportional to 120,176 and 184,820 is: 284,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,176 : 184,820 = 184,820 : x
  2. Step 2: Convert to fraction form
    120,176/184,820 = 184,820/x
  3. Step 3: Cross multiply
    120,176x = 184,820 × 184,820
  4. Step 4: Simplify right side
    120,176x = 34,158,432,400
  5. Step 5: Solve for x
    x = 34,158,432,400/120,176
  6. Step 6: Final answer
    x = 284,236.72

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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.