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Finding the Third Proportional to 173,530 and 262,480

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Solution

The third proportional to 173,530 and 262,480 is: 397,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,530 : 262,480 = 262,480 : x
  2. Step 2: Convert to fraction form
    173,530/262,480 = 262,480/x
  3. Step 3: Cross multiply
    173,530x = 262,480 × 262,480
  4. Step 4: Simplify right side
    173,530x = 68,895,750,400
  5. Step 5: Solve for x
    x = 68,895,750,400/173,530
  6. Step 6: Final answer
    x = 397,025.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.