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Finding the Third Proportional to 180,096 and 388,124

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Solution

The third proportional to 180,096 and 388,124 is: 836,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,096 : 388,124 = 388,124 : x
  2. Step 2: Convert to fraction form
    180,096/388,124 = 388,124/x
  3. Step 3: Cross multiply
    180,096x = 388,124 × 388,124
  4. Step 4: Simplify right side
    180,096x = 150,640,239,376
  5. Step 5: Solve for x
    x = 150,640,239,376/180,096
  6. Step 6: Final answer
    x = 836,444.12

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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.