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Finding the Third Proportional to 177,225.19 and 388,896.75

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Solution

The third proportional to 177,225.19 and 388,896.75 is: 853,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,225.19 : 388,896.75 = 388,896.75 : x
  2. Step 2: Convert to fraction form
    177,225.19/388,896.75 = 388,896.75/x
  3. Step 3: Cross multiply
    177,225.19x = 388,896.75 × 388,896.75
  4. Step 4: Simplify right side
    177,225.19x = 151,240,682,160.56
  5. Step 5: Solve for x
    x = 151,240,682,160.56/177,225.19
  6. Step 6: Final answer
    x = 853,381.42

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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.