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Finding the Third Proportional to 184,648.50 and 276,657

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Solution

The third proportional to 184,648.50 and 276,657 is: 414,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,648.50 : 276,657 = 276,657 : x
  2. Step 2: Convert to fraction form
    184,648.50/276,657 = 276,657/x
  3. Step 3: Cross multiply
    184,648.50x = 276,657 × 276,657
  4. Step 4: Simplify right side
    184,648.50x = 76,539,095,649
  5. Step 5: Solve for x
    x = 76,539,095,649/184,648.50
  6. Step 6: Final answer
    x = 414,512.41

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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.