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Finding the Third Proportional to 206,473.50 and 302,886.56

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Solution

The third proportional to 206,473.50 and 302,886.56 is: 444,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.50 : 302,886.56 = 302,886.56 : x
  2. Step 2: Convert to fraction form
    206,473.50/302,886.56 = 302,886.56/x
  3. Step 3: Cross multiply
    206,473.50x = 302,886.56 × 302,886.56
  4. Step 4: Simplify right side
    206,473.50x = 91,740,269,743.07
  5. Step 5: Solve for x
    x = 91,740,269,743.07/206,473.50
  6. Step 6: Final answer
    x = 444,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.