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Finding the Third Proportional to 194,764.50 and 292,268.25

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Solution

The third proportional to 194,764.50 and 292,268.25 is: 438,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,764.50 : 292,268.25 = 292,268.25 : x
  2. Step 2: Convert to fraction form
    194,764.50/292,268.25 = 292,268.25/x
  3. Step 3: Cross multiply
    194,764.50x = 292,268.25 × 292,268.25
  4. Step 4: Simplify right side
    194,764.50x = 85,420,729,958.06
  5. Step 5: Solve for x
    x = 85,420,729,958.06/194,764.50
  6. Step 6: Final answer
    x = 438,584.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.