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Finding the Third Proportional to 206,620 and 302,852

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Solution

The third proportional to 206,620 and 302,852 is: 443,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,620 : 302,852 = 302,852 : x
  2. Step 2: Convert to fraction form
    206,620/302,852 = 302,852/x
  3. Step 3: Cross multiply
    206,620x = 302,852 × 302,852
  4. Step 4: Simplify right side
    206,620x = 91,719,333,904
  5. Step 5: Solve for x
    x = 91,719,333,904/206,620
  6. Step 6: Final answer
    x = 443,903.46

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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.