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Finding the Third Proportional to 254,314.50 and 384,745.50

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Solution

The third proportional to 254,314.50 and 384,745.50 is: 582,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,314.50 : 384,745.50 = 384,745.50 : x
  2. Step 2: Convert to fraction form
    254,314.50/384,745.50 = 384,745.50/x
  3. Step 3: Cross multiply
    254,314.50x = 384,745.50 × 384,745.50
  4. Step 4: Simplify right side
    254,314.50x = 148,029,099,770.25
  5. Step 5: Solve for x
    x = 148,029,099,770.25/254,314.50
  6. Step 6: Final answer
    x = 582,071.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.