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Finding the Third Proportional to 189,054 and 445,297.50

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Solution

The third proportional to 189,054 and 445,297.50 is: 1,048,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,054 : 445,297.50 = 445,297.50 : x
  2. Step 2: Convert to fraction form
    189,054/445,297.50 = 445,297.50/x
  3. Step 3: Cross multiply
    189,054x = 445,297.50 × 445,297.50
  4. Step 4: Simplify right side
    189,054x = 198,289,863,506.25
  5. Step 5: Solve for x
    x = 198,289,863,506.25/189,054
  6. Step 6: Final answer
    x = 1,048,853.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.