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Finding the Third Proportional to 233,903.25 and 305,874.75

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Solution

The third proportional to 233,903.25 and 305,874.75 is: 399,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,903.25 : 305,874.75 = 305,874.75 : x
  2. Step 2: Convert to fraction form
    233,903.25/305,874.75 = 305,874.75/x
  3. Step 3: Cross multiply
    233,903.25x = 305,874.75 × 305,874.75
  4. Step 4: Simplify right side
    233,903.25x = 93,559,362,687.56
  5. Step 5: Solve for x
    x = 93,559,362,687.56/233,903.25
  6. Step 6: Final answer
    x = 399,991.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.