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Finding the Third Proportional to 112,965.75 and 233,311.50

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Solution

The third proportional to 112,965.75 and 233,311.50 is: 481,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,965.75 : 233,311.50 = 233,311.50 : x
  2. Step 2: Convert to fraction form
    112,965.75/233,311.50 = 233,311.50/x
  3. Step 3: Cross multiply
    112,965.75x = 233,311.50 × 233,311.50
  4. Step 4: Simplify right side
    112,965.75x = 54,434,256,032.25
  5. Step 5: Solve for x
    x = 54,434,256,032.25/112,965.75
  6. Step 6: Final answer
    x = 481,865.13

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.