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Finding the Third Proportional to 169,193 and 238,050.25

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Solution

The third proportional to 169,193 and 238,050.25 is: 334,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,193 : 238,050.25 = 238,050.25 : x
  2. Step 2: Convert to fraction form
    169,193/238,050.25 = 238,050.25/x
  3. Step 3: Cross multiply
    169,193x = 238,050.25 × 238,050.25
  4. Step 4: Simplify right side
    169,193x = 56,667,921,525.06
  5. Step 5: Solve for x
    x = 56,667,921,525.06/169,193
  6. Step 6: Final answer
    x = 334,930.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.