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Finding the Third Proportional to 180,792 and 262,980

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Solution

The third proportional to 180,792 and 262,980 is: 382,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,792 : 262,980 = 262,980 : x
  2. Step 2: Convert to fraction form
    180,792/262,980 = 262,980/x
  3. Step 3: Cross multiply
    180,792x = 262,980 × 262,980
  4. Step 4: Simplify right side
    180,792x = 69,158,480,400
  5. Step 5: Solve for x
    x = 69,158,480,400/180,792
  6. Step 6: Final answer
    x = 382,530.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.