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Finding the Third Proportional to 189,391.75 and 408,827

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Solution

The third proportional to 189,391.75 and 408,827 is: 882,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,391.75 : 408,827 = 408,827 : x
  2. Step 2: Convert to fraction form
    189,391.75/408,827 = 408,827/x
  3. Step 3: Cross multiply
    189,391.75x = 408,827 × 408,827
  4. Step 4: Simplify right side
    189,391.75x = 167,139,515,929
  5. Step 5: Solve for x
    x = 167,139,515,929/189,391.75
  6. Step 6: Final answer
    x = 882,506.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.