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Finding the Third Proportional to 184,825.50 and 270,649.50

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Solution

The third proportional to 184,825.50 and 270,649.50 is: 396,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,825.50 : 270,649.50 = 270,649.50 : x
  2. Step 2: Convert to fraction form
    184,825.50/270,649.50 = 270,649.50/x
  3. Step 3: Cross multiply
    184,825.50x = 270,649.50 × 270,649.50
  4. Step 4: Simplify right side
    184,825.50x = 73,251,151,850.25
  5. Step 5: Solve for x
    x = 73,251,151,850.25/184,825.50
  6. Step 6: Final answer
    x = 396,326.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.