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Finding the Third Proportional to 193,288.50 and 294,930

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Solution

The third proportional to 193,288.50 and 294,930 is: 450,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,288.50 : 294,930 = 294,930 : x
  2. Step 2: Convert to fraction form
    193,288.50/294,930 = 294,930/x
  3. Step 3: Cross multiply
    193,288.50x = 294,930 × 294,930
  4. Step 4: Simplify right side
    193,288.50x = 86,983,704,900
  5. Step 5: Solve for x
    x = 86,983,704,900/193,288.50
  6. Step 6: Final answer
    x = 450,020.07

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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.