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Finding the Third Proportional to 206,634.38 and 302,875.88

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Solution

The third proportional to 206,634.38 and 302,875.88 is: 443,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.38 : 302,875.88 = 302,875.88 : x
  2. Step 2: Convert to fraction form
    206,634.38/302,875.88 = 302,875.88/x
  3. Step 3: Cross multiply
    206,634.38x = 302,875.88 × 302,875.88
  4. Step 4: Simplify right side
    206,634.38x = 91,733,795,657.02
  5. Step 5: Solve for x
    x = 91,733,795,657.02/206,634.38
  6. Step 6: Final answer
    x = 443,942.57

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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.