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Finding the Third Proportional to 141,896.16 and 213,440.34

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Solution

The third proportional to 141,896.16 and 213,440.34 is: 321,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,896.16 : 213,440.34 = 213,440.34 : x
  2. Step 2: Convert to fraction form
    141,896.16/213,440.34 = 213,440.34/x
  3. Step 3: Cross multiply
    141,896.16x = 213,440.34 × 213,440.34
  4. Step 4: Simplify right side
    141,896.16x = 45,556,780,340.12
  5. Step 5: Solve for x
    x = 45,556,780,340.12/141,896.16
  6. Step 6: Final answer
    x = 321,057.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.