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Finding the Third Proportional to 184,531.50 and 301,320.75

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Solution

The third proportional to 184,531.50 and 301,320.75 is: 492,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,531.50 : 301,320.75 = 301,320.75 : x
  2. Step 2: Convert to fraction form
    184,531.50/301,320.75 = 301,320.75/x
  3. Step 3: Cross multiply
    184,531.50x = 301,320.75 × 301,320.75
  4. Step 4: Simplify right side
    184,531.50x = 90,794,194,380.56
  5. Step 5: Solve for x
    x = 90,794,194,380.56/184,531.50
  6. Step 6: Final answer
    x = 492,025.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.