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Finding the Third Proportional to 206,465.06 and 305,859.94

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Solution

The third proportional to 206,465.06 and 305,859.94 is: 453,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,465.06 : 305,859.94 = 305,859.94 : x
  2. Step 2: Convert to fraction form
    206,465.06/305,859.94 = 305,859.94/x
  3. Step 3: Cross multiply
    206,465.06x = 305,859.94 × 305,859.94
  4. Step 4: Simplify right side
    206,465.06x = 93,550,301,367.50
  5. Step 5: Solve for x
    x = 93,550,301,367.50/206,465.06
  6. Step 6: Final answer
    x = 453,104.75

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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.