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Finding the Third Proportional to 195,142 and 294,250

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Solution

The third proportional to 195,142 and 294,250 is: 443,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,142 : 294,250 = 294,250 : x
  2. Step 2: Convert to fraction form
    195,142/294,250 = 294,250/x
  3. Step 3: Cross multiply
    195,142x = 294,250 × 294,250
  4. Step 4: Simplify right side
    195,142x = 86,583,062,500
  5. Step 5: Solve for x
    x = 86,583,062,500/195,142
  6. Step 6: Final answer
    x = 443,692.61

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