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Finding the Third Proportional to 133,194.38 and 292,632.75

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Solution

The third proportional to 133,194.38 and 292,632.75 is: 642,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194.38 : 292,632.75 = 292,632.75 : x
  2. Step 2: Convert to fraction form
    133,194.38/292,632.75 = 292,632.75/x
  3. Step 3: Cross multiply
    133,194.38x = 292,632.75 × 292,632.75
  4. Step 4: Simplify right side
    133,194.38x = 85,633,926,372.56
  5. Step 5: Solve for x
    x = 85,633,926,372.56/133,194.38
  6. Step 6: Final answer
    x = 642,924.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.