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Finding the Third Proportional to 233,477.44 and 350,218.69

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Solution

The third proportional to 233,477.44 and 350,218.69 is: 525,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,477.44 : 350,218.69 = 350,218.69 : x
  2. Step 2: Convert to fraction form
    233,477.44/350,218.69 = 350,218.69/x
  3. Step 3: Cross multiply
    233,477.44x = 350,218.69 × 350,218.69
  4. Step 4: Simplify right side
    233,477.44x = 122,653,129,074.22
  5. Step 5: Solve for x
    x = 122,653,129,074.22/233,477.44
  6. Step 6: Final answer
    x = 525,331.83

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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.