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Finding the Third Proportional to 158,578.86 and 245,379.16

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Solution

The third proportional to 158,578.86 and 245,379.16 is: 379,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,578.86 : 245,379.16 = 245,379.16 : x
  2. Step 2: Convert to fraction form
    158,578.86/245,379.16 = 245,379.16/x
  3. Step 3: Cross multiply
    158,578.86x = 245,379.16 × 245,379.16
  4. Step 4: Simplify right side
    158,578.86x = 60,210,930,921.03
  5. Step 5: Solve for x
    x = 60,210,930,921.03/158,578.86
  6. Step 6: Final answer
    x = 379,690.79

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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.