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Finding the Third Proportional to 180,094 and 388,119

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Solution

The third proportional to 180,094 and 388,119 is: 836,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,094 : 388,119 = 388,119 : x
  2. Step 2: Convert to fraction form
    180,094/388,119 = 388,119/x
  3. Step 3: Cross multiply
    180,094x = 388,119 × 388,119
  4. Step 4: Simplify right side
    180,094x = 150,636,358,161
  5. Step 5: Solve for x
    x = 150,636,358,161/180,094
  6. Step 6: Final answer
    x = 836,431.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.