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Finding the Third Proportional to 181,409.63 and 397,340.44

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Solution

The third proportional to 181,409.63 and 397,340.44 is: 870,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,409.63 : 397,340.44 = 397,340.44 : x
  2. Step 2: Convert to fraction form
    181,409.63/397,340.44 = 397,340.44/x
  3. Step 3: Cross multiply
    181,409.63x = 397,340.44 × 397,340.44
  4. Step 4: Simplify right side
    181,409.63x = 157,879,423,272.69
  5. Step 5: Solve for x
    x = 157,879,423,272.69/181,409.63
  6. Step 6: Final answer
    x = 870,292.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.