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Finding the Third Proportional to 180,952 and 366,763

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Solution

The third proportional to 180,952 and 366,763 is: 743,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952 : 366,763 = 366,763 : x
  2. Step 2: Convert to fraction form
    180,952/366,763 = 366,763/x
  3. Step 3: Cross multiply
    180,952x = 366,763 × 366,763
  4. Step 4: Simplify right side
    180,952x = 134,515,098,169
  5. Step 5: Solve for x
    x = 134,515,098,169/180,952
  6. Step 6: Final answer
    x = 743,374.48

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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.