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Finding the Third Proportional to 189,392.87 and 408,830.41

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Solution

The third proportional to 189,392.87 and 408,830.41 is: 882,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,392.87 : 408,830.41 = 408,830.41 : x
  2. Step 2: Convert to fraction form
    189,392.87/408,830.41 = 408,830.41/x
  3. Step 3: Cross multiply
    189,392.87x = 408,830.41 × 408,830.41
  4. Step 4: Simplify right side
    189,392.87x = 167,142,307,462.52
  5. Step 5: Solve for x
    x = 167,142,307,462.52/189,392.87
  6. Step 6: Final answer
    x = 882,516.36

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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.