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Finding the Third Proportional to 189,706 and 285,811

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Solution

The third proportional to 189,706 and 285,811 is: 430,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706 : 285,811 = 285,811 : x
  2. Step 2: Convert to fraction form
    189,706/285,811 = 285,811/x
  3. Step 3: Cross multiply
    189,706x = 285,811 × 285,811
  4. Step 4: Simplify right side
    189,706x = 81,687,927,721
  5. Step 5: Solve for x
    x = 81,687,927,721/189,706
  6. Step 6: Final answer
    x = 430,602.76

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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.