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Finding the Third Proportional to 180,152 and 383,632

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Solution

The third proportional to 180,152 and 383,632 is: 816,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152 : 383,632 = 383,632 : x
  2. Step 2: Convert to fraction form
    180,152/383,632 = 383,632/x
  3. Step 3: Cross multiply
    180,152x = 383,632 × 383,632
  4. Step 4: Simplify right side
    180,152x = 147,173,511,424
  5. Step 5: Solve for x
    x = 147,173,511,424/180,152
  6. Step 6: Final answer
    x = 816,940.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.