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Finding the Third Proportional to 233,313.75 and 330,081.75

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Solution

The third proportional to 233,313.75 and 330,081.75 is: 466,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 330,081.75 = 330,081.75 : x
  2. Step 2: Convert to fraction form
    233,313.75/330,081.75 = 330,081.75/x
  3. Step 3: Cross multiply
    233,313.75x = 330,081.75 × 330,081.75
  4. Step 4: Simplify right side
    233,313.75x = 108,953,961,683.06
  5. Step 5: Solve for x
    x = 108,953,961,683.06/233,313.75
  6. Step 6: Final answer
    x = 466,984.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.