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Finding the Third Proportional to 154,162.13 and 343,358.44

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Solution

The third proportional to 154,162.13 and 343,358.44 is: 764,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,162.13 : 343,358.44 = 343,358.44 : x
  2. Step 2: Convert to fraction form
    154,162.13/343,358.44 = 343,358.44/x
  3. Step 3: Cross multiply
    154,162.13x = 343,358.44 × 343,358.44
  4. Step 4: Simplify right side
    154,162.13x = 117,895,016,602.44
  5. Step 5: Solve for x
    x = 117,895,016,602.44/154,162.13
  6. Step 6: Final answer
    x = 764,746.96

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.