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Finding the Third Proportional to 188,002.27 and 405,965.67

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Solution

The third proportional to 188,002.27 and 405,965.67 is: 876,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,002.27 : 405,965.67 = 405,965.67 : x
  2. Step 2: Convert to fraction form
    188,002.27/405,965.67 = 405,965.67/x
  3. Step 3: Cross multiply
    188,002.27x = 405,965.67 × 405,965.67
  4. Step 4: Simplify right side
    188,002.27x = 164,808,126,740.92
  5. Step 5: Solve for x
    x = 164,808,126,740.92/188,002.27
  6. Step 6: Final answer
    x = 876,628.41

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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.