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Finding the Third Proportional to 103,503 and 211,362

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Solution

The third proportional to 103,503 and 211,362 is: 431,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,503 : 211,362 = 211,362 : x
  2. Step 2: Convert to fraction form
    103,503/211,362 = 211,362/x
  3. Step 3: Cross multiply
    103,503x = 211,362 × 211,362
  4. Step 4: Simplify right side
    103,503x = 44,673,895,044
  5. Step 5: Solve for x
    x = 44,673,895,044/103,503
  6. Step 6: Final answer
    x = 431,619.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.