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Finding the Third Proportional to 156,942.75 and 335,431.50

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Solution

The third proportional to 156,942.75 and 335,431.50 is: 716,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942.75 : 335,431.50 = 335,431.50 : x
  2. Step 2: Convert to fraction form
    156,942.75/335,431.50 = 335,431.50/x
  3. Step 3: Cross multiply
    156,942.75x = 335,431.50 × 335,431.50
  4. Step 4: Simplify right side
    156,942.75x = 112,514,291,192.25
  5. Step 5: Solve for x
    x = 112,514,291,192.25/156,942.75
  6. Step 6: Final answer
    x = 716,912.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.