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Finding the Third Proportional to 206,449.25 and 305,836.50

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Solution

The third proportional to 206,449.25 and 305,836.50 is: 453,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,449.25 : 305,836.50 = 305,836.50 : x
  2. Step 2: Convert to fraction form
    206,449.25/305,836.50 = 305,836.50/x
  3. Step 3: Cross multiply
    206,449.25x = 305,836.50 × 305,836.50
  4. Step 4: Simplify right side
    206,449.25x = 93,535,964,732.25
  5. Step 5: Solve for x
    x = 93,535,964,732.25/206,449.25
  6. Step 6: Final answer
    x = 453,070.01

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Why These Related Problems?

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