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Finding the Third Proportional to 206,448.75 and 305,835.75

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Solution

The third proportional to 206,448.75 and 305,835.75 is: 453,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.75 : 305,835.75 = 305,835.75 : x
  2. Step 2: Convert to fraction form
    206,448.75/305,835.75 = 305,835.75/x
  3. Step 3: Cross multiply
    206,448.75x = 305,835.75 × 305,835.75
  4. Step 4: Simplify right side
    206,448.75x = 93,535,505,978.06
  5. Step 5: Solve for x
    x = 93,535,505,978.06/206,448.75
  6. Step 6: Final answer
    x = 453,068.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.