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Finding the Third Proportional to 158,540.41 and 245,379.69

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Solution

The third proportional to 158,540.41 and 245,379.69 is: 379,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,540.41 : 245,379.69 = 245,379.69 : x
  2. Step 2: Convert to fraction form
    158,540.41/245,379.69 = 245,379.69/x
  3. Step 3: Cross multiply
    158,540.41x = 245,379.69 × 245,379.69
  4. Step 4: Simplify right side
    158,540.41x = 60,211,192,954.63
  5. Step 5: Solve for x
    x = 60,211,192,954.63/158,540.41
  6. Step 6: Final answer
    x = 379,784.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.