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Finding the Third Proportional to 193,551 and 416,763.75

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Solution

The third proportional to 193,551 and 416,763.75 is: 897,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,551 : 416,763.75 = 416,763.75 : x
  2. Step 2: Convert to fraction form
    193,551/416,763.75 = 416,763.75/x
  3. Step 3: Cross multiply
    193,551x = 416,763.75 × 416,763.75
  4. Step 4: Simplify right side
    193,551x = 173,692,023,314.06
  5. Step 5: Solve for x
    x = 173,692,023,314.06/193,551
  6. Step 6: Final answer
    x = 897,396.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.