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Finding the Third Proportional to 188,984 and 284,330

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Solution

The third proportional to 188,984 and 284,330 is: 427,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,984 : 284,330 = 284,330 : x
  2. Step 2: Convert to fraction form
    188,984/284,330 = 284,330/x
  3. Step 3: Cross multiply
    188,984x = 284,330 × 284,330
  4. Step 4: Simplify right side
    188,984x = 80,843,548,900
  5. Step 5: Solve for x
    x = 80,843,548,900/188,984
  6. Step 6: Final answer
    x = 427,779.86

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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.