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Finding the Third Proportional to 189,704 and 284,060

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Solution

The third proportional to 189,704 and 284,060 is: 425,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704 : 284,060 = 284,060 : x
  2. Step 2: Convert to fraction form
    189,704/284,060 = 284,060/x
  3. Step 3: Cross multiply
    189,704x = 284,060 × 284,060
  4. Step 4: Simplify right side
    189,704x = 80,690,083,600
  5. Step 5: Solve for x
    x = 80,690,083,600/189,704
  6. Step 6: Final answer
    x = 425,347.30

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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.