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Finding the Third Proportional to 177,890.25 and 388,612.50

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Solution

The third proportional to 177,890.25 and 388,612.50 is: 848,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,890.25 : 388,612.50 = 388,612.50 : x
  2. Step 2: Convert to fraction form
    177,890.25/388,612.50 = 388,612.50/x
  3. Step 3: Cross multiply
    177,890.25x = 388,612.50 × 388,612.50
  4. Step 4: Simplify right side
    177,890.25x = 151,019,675,156.25
  5. Step 5: Solve for x
    x = 151,019,675,156.25/177,890.25
  6. Step 6: Final answer
    x = 848,948.58

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