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Finding the Third Proportional to 180,938 and 366,988

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Solution

The third proportional to 180,938 and 366,988 is: 744,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,938 : 366,988 = 366,988 : x
  2. Step 2: Convert to fraction form
    180,938/366,988 = 366,988/x
  3. Step 3: Cross multiply
    180,938x = 366,988 × 366,988
  4. Step 4: Simplify right side
    180,938x = 134,680,192,144
  5. Step 5: Solve for x
    x = 134,680,192,144/180,938
  6. Step 6: Final answer
    x = 744,344.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.