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Finding the Third Proportional to 189,270 and 284,695

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Solution

The third proportional to 189,270 and 284,695 is: 428,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,270 : 284,695 = 284,695 : x
  2. Step 2: Convert to fraction form
    189,270/284,695 = 284,695/x
  3. Step 3: Cross multiply
    189,270x = 284,695 × 284,695
  4. Step 4: Simplify right side
    189,270x = 81,051,243,025
  5. Step 5: Solve for x
    x = 81,051,243,025/189,270
  6. Step 6: Final answer
    x = 428,230.80

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