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Finding the Third Proportional to 177,445.69 and 384,400.69

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Solution

The third proportional to 177,445.69 and 384,400.69 is: 832,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,445.69 : 384,400.69 = 384,400.69 : x
  2. Step 2: Convert to fraction form
    177,445.69/384,400.69 = 384,400.69/x
  3. Step 3: Cross multiply
    177,445.69x = 384,400.69 × 384,400.69
  4. Step 4: Simplify right side
    177,445.69x = 147,763,888,550.47
  5. Step 5: Solve for x
    x = 147,763,888,550.47/177,445.69
  6. Step 6: Final answer
    x = 832,727.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.