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Finding the Third Proportional to 189,602 and 285,606

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Solution

The third proportional to 189,602 and 285,606 is: 430,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,602 : 285,606 = 285,606 : x
  2. Step 2: Convert to fraction form
    189,602/285,606 = 285,606/x
  3. Step 3: Cross multiply
    189,602x = 285,606 × 285,606
  4. Step 4: Simplify right side
    189,602x = 81,570,787,236
  5. Step 5: Solve for x
    x = 81,570,787,236/189,602
  6. Step 6: Final answer
    x = 430,221.13

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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.