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Finding the Third Proportional to 180,895 and 366,716

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Solution

The third proportional to 180,895 and 366,716 is: 743,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,895 : 366,716 = 366,716 : x
  2. Step 2: Convert to fraction form
    180,895/366,716 = 366,716/x
  3. Step 3: Cross multiply
    180,895x = 366,716 × 366,716
  4. Step 4: Simplify right side
    180,895x = 134,480,624,656
  5. Step 5: Solve for x
    x = 134,480,624,656/180,895
  6. Step 6: Final answer
    x = 743,418.14

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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.