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Finding the Third Proportional to 154,497.38 and 220,512.38

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Solution

The third proportional to 154,497.38 and 220,512.38 is: 314,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,497.38 : 220,512.38 = 220,512.38 : x
  2. Step 2: Convert to fraction form
    154,497.38/220,512.38 = 220,512.38/x
  3. Step 3: Cross multiply
    154,497.38x = 220,512.38 × 220,512.38
  4. Step 4: Simplify right side
    154,497.38x = 48,625,707,528.14
  5. Step 5: Solve for x
    x = 48,625,707,528.14/154,497.38
  6. Step 6: Final answer
    x = 314,734.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.