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Finding the Third Proportional to 177,653.25 and 388,518.75

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Solution

The third proportional to 177,653.25 and 388,518.75 is: 849,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,653.25 : 388,518.75 = 388,518.75 : x
  2. Step 2: Convert to fraction form
    177,653.25/388,518.75 = 388,518.75/x
  3. Step 3: Cross multiply
    177,653.25x = 388,518.75 × 388,518.75
  4. Step 4: Simplify right side
    177,653.25x = 150,946,819,101.56
  5. Step 5: Solve for x
    x = 150,946,819,101.56/177,653.25
  6. Step 6: Final answer
    x = 849,671.03

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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.