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Finding the Third Proportional to 195,261.75 and 395,950.50

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Solution

The third proportional to 195,261.75 and 395,950.50 is: 802,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,261.75 : 395,950.50 = 395,950.50 : x
  2. Step 2: Convert to fraction form
    195,261.75/395,950.50 = 395,950.50/x
  3. Step 3: Cross multiply
    195,261.75x = 395,950.50 × 395,950.50
  4. Step 4: Simplify right side
    195,261.75x = 156,776,798,450.25
  5. Step 5: Solve for x
    x = 156,776,798,450.25/195,261.75
  6. Step 6: Final answer
    x = 802,905.84

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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.