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Finding the Third Proportional to 184,479 and 276,719

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Solution

The third proportional to 184,479 and 276,719 is: 415,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,479 : 276,719 = 276,719 : x
  2. Step 2: Convert to fraction form
    184,479/276,719 = 276,719/x
  3. Step 3: Cross multiply
    184,479x = 276,719 × 276,719
  4. Step 4: Simplify right side
    184,479x = 76,573,404,961
  5. Step 5: Solve for x
    x = 76,573,404,961/184,479
  6. Step 6: Final answer
    x = 415,079.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.