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Finding the Third Proportional to 189,600 and 285,600

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Solution

The third proportional to 189,600 and 285,600 is: 430,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,600 : 285,600 = 285,600 : x
  2. Step 2: Convert to fraction form
    189,600/285,600 = 285,600/x
  3. Step 3: Cross multiply
    189,600x = 285,600 × 285,600
  4. Step 4: Simplify right side
    189,600x = 81,567,360,000
  5. Step 5: Solve for x
    x = 81,567,360,000/189,600
  6. Step 6: Final answer
    x = 430,207.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.