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Finding the Third Proportional to 233,950.50 and 325,962

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Solution

The third proportional to 233,950.50 and 325,962 is: 454,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,950.50 : 325,962 = 325,962 : x
  2. Step 2: Convert to fraction form
    233,950.50/325,962 = 325,962/x
  3. Step 3: Cross multiply
    233,950.50x = 325,962 × 325,962
  4. Step 4: Simplify right side
    233,950.50x = 106,251,225,444
  5. Step 5: Solve for x
    x = 106,251,225,444/233,950.50
  6. Step 6: Final answer
    x = 454,161.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.