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Finding the Third Proportional to 189,598.50 and 284,883.75

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Solution

The third proportional to 189,598.50 and 284,883.75 is: 428,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598.50 : 284,883.75 = 284,883.75 : x
  2. Step 2: Convert to fraction form
    189,598.50/284,883.75 = 284,883.75/x
  3. Step 3: Cross multiply
    189,598.50x = 284,883.75 × 284,883.75
  4. Step 4: Simplify right side
    189,598.50x = 81,158,751,014.06
  5. Step 5: Solve for x
    x = 81,158,751,014.06/189,598.50
  6. Step 6: Final answer
    x = 428,055.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.