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Finding the Third Proportional to 206,610.75 and 302,842.55

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Solution

The third proportional to 206,610.75 and 302,842.55 is: 443,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,610.75 : 302,842.55 = 302,842.55 : x
  2. Step 2: Convert to fraction form
    206,610.75/302,842.55 = 302,842.55/x
  3. Step 3: Cross multiply
    206,610.75x = 302,842.55 × 302,842.55
  4. Step 4: Simplify right side
    206,610.75x = 91,713,608,197.74
  5. Step 5: Solve for x
    x = 91,713,608,197.74/206,610.75
  6. Step 6: Final answer
    x = 443,895.63

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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.