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Finding the Third Proportional to 233,664 and 350,104

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Solution

The third proportional to 233,664 and 350,104 is: 524,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,664 : 350,104 = 350,104 : x
  2. Step 2: Convert to fraction form
    233,664/350,104 = 350,104/x
  3. Step 3: Cross multiply
    233,664x = 350,104 × 350,104
  4. Step 4: Simplify right side
    233,664x = 122,572,810,816
  5. Step 5: Solve for x
    x = 122,572,810,816/233,664
  6. Step 6: Final answer
    x = 524,568.66

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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.