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Finding the Third Proportional to 177,678.19 and 384,880.88

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Solution

The third proportional to 177,678.19 and 384,880.88 is: 833,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,678.19 : 384,880.88 = 384,880.88 : x
  2. Step 2: Convert to fraction form
    177,678.19/384,880.88 = 384,880.88/x
  3. Step 3: Cross multiply
    177,678.19x = 384,880.88 × 384,880.88
  4. Step 4: Simplify right side
    177,678.19x = 148,133,287,940.77
  5. Step 5: Solve for x
    x = 148,133,287,940.77/177,678.19
  6. Step 6: Final answer
    x = 833,716.79

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