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Finding the Third Proportional to 233,675 and 350,125

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Solution

The third proportional to 233,675 and 350,125 is: 524,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,675 : 350,125 = 350,125 : x
  2. Step 2: Convert to fraction form
    233,675/350,125 = 350,125/x
  3. Step 3: Cross multiply
    233,675x = 350,125 × 350,125
  4. Step 4: Simplify right side
    233,675x = 122,587,515,625
  5. Step 5: Solve for x
    x = 122,587,515,625/233,675
  6. Step 6: Final answer
    x = 524,606.89

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