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Finding the Third Proportional to 220,226.34 and 350,022.52

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Solution

The third proportional to 220,226.34 and 350,022.52 is: 556,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,226.34 : 350,022.52 = 350,022.52 : x
  2. Step 2: Convert to fraction form
    220,226.34/350,022.52 = 350,022.52/x
  3. Step 3: Cross multiply
    220,226.34x = 350,022.52 × 350,022.52
  4. Step 4: Simplify right side
    220,226.34x = 122,515,761,444.45
  5. Step 5: Solve for x
    x = 122,515,761,444.45/220,226.34
  6. Step 6: Final answer
    x = 556,317.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.