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Finding the Third Proportional to 184,073.34 and 270,047.25

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Solution

The third proportional to 184,073.34 and 270,047.25 is: 396,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,073.34 : 270,047.25 = 270,047.25 : x
  2. Step 2: Convert to fraction form
    184,073.34/270,047.25 = 270,047.25/x
  3. Step 3: Cross multiply
    184,073.34x = 270,047.25 × 270,047.25
  4. Step 4: Simplify right side
    184,073.34x = 72,925,517,232.56
  5. Step 5: Solve for x
    x = 72,925,517,232.56/184,073.34
  6. Step 6: Final answer
    x = 396,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.