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Finding the Third Proportional to 184,531.88 and 301,321.13

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Solution

The third proportional to 184,531.88 and 301,321.13 is: 492,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,531.88 : 301,321.13 = 301,321.13 : x
  2. Step 2: Convert to fraction form
    184,531.88/301,321.13 = 301,321.13/x
  3. Step 3: Cross multiply
    184,531.88x = 301,321.13 × 301,321.13
  4. Step 4: Simplify right side
    184,531.88x = 90,794,420,371.27
  5. Step 5: Solve for x
    x = 90,794,420,371.27/184,531.88
  6. Step 6: Final answer
    x = 492,025.68

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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.