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Finding the Third Proportional to 233,651 and 350,087

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Solution

The third proportional to 233,651 and 350,087 is: 524,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,651 : 350,087 = 350,087 : x
  2. Step 2: Convert to fraction form
    233,651/350,087 = 350,087/x
  3. Step 3: Cross multiply
    233,651x = 350,087 × 350,087
  4. Step 4: Simplify right side
    233,651x = 122,560,907,569
  5. Step 5: Solve for x
    x = 122,560,907,569/233,651
  6. Step 6: Final answer
    x = 524,546.90

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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.