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Finding the Third Proportional to 177,932.25 and 388,696.50

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Solution

The third proportional to 177,932.25 and 388,696.50 is: 849,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,932.25 : 388,696.50 = 388,696.50 : x
  2. Step 2: Convert to fraction form
    177,932.25/388,696.50 = 388,696.50/x
  3. Step 3: Cross multiply
    177,932.25x = 388,696.50 × 388,696.50
  4. Step 4: Simplify right side
    177,932.25x = 151,084,969,112.25
  5. Step 5: Solve for x
    x = 151,084,969,112.25/177,932.25
  6. Step 6: Final answer
    x = 849,115.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.