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Finding the Third Proportional to 102,330 and 209,732

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Solution

The third proportional to 102,330 and 209,732 is: 429,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,330 : 209,732 = 209,732 : x
  2. Step 2: Convert to fraction form
    102,330/209,732 = 209,732/x
  3. Step 3: Cross multiply
    102,330x = 209,732 × 209,732
  4. Step 4: Simplify right side
    102,330x = 43,987,511,824
  5. Step 5: Solve for x
    x = 43,987,511,824/102,330
  6. Step 6: Final answer
    x = 429,859.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.