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Finding the Third Proportional to 180,900 and 366,726

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Solution

The third proportional to 180,900 and 366,726 is: 743,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,900 : 366,726 = 366,726 : x
  2. Step 2: Convert to fraction form
    180,900/366,726 = 366,726/x
  3. Step 3: Cross multiply
    180,900x = 366,726 × 366,726
  4. Step 4: Simplify right side
    180,900x = 134,487,959,076
  5. Step 5: Solve for x
    x = 134,487,959,076/180,900
  6. Step 6: Final answer
    x = 743,438.14

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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.