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Finding the Third Proportional to 233,230.50 and 330,297.75

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Solution

The third proportional to 233,230.50 and 330,297.75 is: 467,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,230.50 : 330,297.75 = 330,297.75 : x
  2. Step 2: Convert to fraction form
    233,230.50/330,297.75 = 330,297.75/x
  3. Step 3: Cross multiply
    233,230.50x = 330,297.75 × 330,297.75
  4. Step 4: Simplify right side
    233,230.50x = 109,096,603,655.06
  5. Step 5: Solve for x
    x = 109,096,603,655.06/233,230.50
  6. Step 6: Final answer
    x = 467,763.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.