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Finding the Third Proportional to 188,289.56 and 413,894.81

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Solution

The third proportional to 188,289.56 and 413,894.81 is: 909,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,289.56 : 413,894.81 = 413,894.81 : x
  2. Step 2: Convert to fraction form
    188,289.56/413,894.81 = 413,894.81/x
  3. Step 3: Cross multiply
    188,289.56x = 413,894.81 × 413,894.81
  4. Step 4: Simplify right side
    188,289.56x = 171,308,915,814.41
  5. Step 5: Solve for x
    x = 171,308,915,814.41/188,289.56
  6. Step 6: Final answer
    x = 909,816.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.