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Finding the Third Proportional to 192,036 and 300,646

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Solution

The third proportional to 192,036 and 300,646 is: 470,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,036 : 300,646 = 300,646 : x
  2. Step 2: Convert to fraction form
    192,036/300,646 = 300,646/x
  3. Step 3: Cross multiply
    192,036x = 300,646 × 300,646
  4. Step 4: Simplify right side
    192,036x = 90,388,017,316
  5. Step 5: Solve for x
    x = 90,388,017,316/192,036
  6. Step 6: Final answer
    x = 470,682.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.