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Finding the Third Proportional to 138,359.75 and 211,554.75

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Solution

The third proportional to 138,359.75 and 211,554.75 is: 323,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,359.75 : 211,554.75 = 211,554.75 : x
  2. Step 2: Convert to fraction form
    138,359.75/211,554.75 = 211,554.75/x
  3. Step 3: Cross multiply
    138,359.75x = 211,554.75 × 211,554.75
  4. Step 4: Simplify right side
    138,359.75x = 44,755,412,247.56
  5. Step 5: Solve for x
    x = 44,755,412,247.56/138,359.75
  6. Step 6: Final answer
    x = 323,471.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.