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Finding the Third Proportional to 189,702 and 439,182

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Solution

The third proportional to 189,702 and 439,182 is: 1,016,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,702 : 439,182 = 439,182 : x
  2. Step 2: Convert to fraction form
    189,702/439,182 = 439,182/x
  3. Step 3: Cross multiply
    189,702x = 439,182 × 439,182
  4. Step 4: Simplify right side
    189,702x = 192,880,829,124
  5. Step 5: Solve for x
    x = 192,880,829,124/189,702
  6. Step 6: Final answer
    x = 1,016,756.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.