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Finding the Third Proportional to 180,920 and 366,952

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Solution

The third proportional to 180,920 and 366,952 is: 744,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,920 : 366,952 = 366,952 : x
  2. Step 2: Convert to fraction form
    180,920/366,952 = 366,952/x
  3. Step 3: Cross multiply
    180,920x = 366,952 × 366,952
  4. Step 4: Simplify right side
    180,920x = 134,653,770,304
  5. Step 5: Solve for x
    x = 134,653,770,304/180,920
  6. Step 6: Final answer
    x = 744,272.44

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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.