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Finding the Third Proportional to 233,286.75 and 371,382.75

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Solution

The third proportional to 233,286.75 and 371,382.75 is: 591,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 371,382.75 = 371,382.75 : x
  2. Step 2: Convert to fraction form
    233,286.75/371,382.75 = 371,382.75/x
  3. Step 3: Cross multiply
    233,286.75x = 371,382.75 × 371,382.75
  4. Step 4: Simplify right side
    233,286.75x = 137,925,146,997.56
  5. Step 5: Solve for x
    x = 137,925,146,997.56/233,286.75
  6. Step 6: Final answer
    x = 591,225.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.