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Finding the Third Proportional to 158,239.20 and 226,120.36

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Solution

The third proportional to 158,239.20 and 226,120.36 is: 323,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,239.20 : 226,120.36 = 226,120.36 : x
  2. Step 2: Convert to fraction form
    158,239.20/226,120.36 = 226,120.36/x
  3. Step 3: Cross multiply
    158,239.20x = 226,120.36 × 226,120.36
  4. Step 4: Simplify right side
    158,239.20x = 51,130,416,923.88
  5. Step 5: Solve for x
    x = 51,130,416,923.88/158,239.20
  6. Step 6: Final answer
    x = 323,121.06

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Why These Related Problems?

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