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Finding the Third Proportional to 159,056.44 and 343,015.88

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Solution

The third proportional to 159,056.44 and 343,015.88 is: 739,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,056.44 : 343,015.88 = 343,015.88 : x
  2. Step 2: Convert to fraction form
    159,056.44/343,015.88 = 343,015.88/x
  3. Step 3: Cross multiply
    159,056.44x = 343,015.88 × 343,015.88
  4. Step 4: Simplify right side
    159,056.44x = 117,659,890,502.02
  5. Step 5: Solve for x
    x = 117,659,890,502.02/159,056.44
  6. Step 6: Final answer
    x = 739,736.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.