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Finding the Third Proportional to 206,623 and 302,854

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Solution

The third proportional to 206,623 and 302,854 is: 443,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,623 : 302,854 = 302,854 : x
  2. Step 2: Convert to fraction form
    206,623/302,854 = 302,854/x
  3. Step 3: Cross multiply
    206,623x = 302,854 × 302,854
  4. Step 4: Simplify right side
    206,623x = 91,720,545,316
  5. Step 5: Solve for x
    x = 91,720,545,316/206,623
  6. Step 6: Final answer
    x = 443,902.88

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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.