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Finding the Third Proportional to 206,824 and 302,023

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Solution

The third proportional to 206,824 and 302,023 is: 441,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824 : 302,023 = 302,023 : x
  2. Step 2: Convert to fraction form
    206,824/302,023 = 302,023/x
  3. Step 3: Cross multiply
    206,824x = 302,023 × 302,023
  4. Step 4: Simplify right side
    206,824x = 91,217,892,529
  5. Step 5: Solve for x
    x = 91,217,892,529/206,824
  6. Step 6: Final answer
    x = 441,041.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.