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Finding the Third Proportional to 84,170.25 and 184,180.50

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Solution

The third proportional to 84,170.25 and 184,180.50 is: 403,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170.25 : 184,180.50 = 184,180.50 : x
  2. Step 2: Convert to fraction form
    84,170.25/184,180.50 = 184,180.50/x
  3. Step 3: Cross multiply
    84,170.25x = 184,180.50 × 184,180.50
  4. Step 4: Simplify right side
    84,170.25x = 33,922,456,580.25
  5. Step 5: Solve for x
    x = 33,922,456,580.25/84,170.25
  6. Step 6: Final answer
    x = 403,021.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.