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Finding the Third Proportional to 184,482.56 and 398,034

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Solution

The third proportional to 184,482.56 and 398,034 is: 858,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,482.56 : 398,034 = 398,034 : x
  2. Step 2: Convert to fraction form
    184,482.56/398,034 = 398,034/x
  3. Step 3: Cross multiply
    184,482.56x = 398,034 × 398,034
  4. Step 4: Simplify right side
    184,482.56x = 158,431,065,156
  5. Step 5: Solve for x
    x = 158,431,065,156/184,482.56
  6. Step 6: Final answer
    x = 858,786.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.