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Finding the Third Proportional to 103,696 and 223,329

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Solution

The third proportional to 103,696 and 223,329 is: 480,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 223,329 = 223,329 : x
  2. Step 2: Convert to fraction form
    103,696/223,329 = 223,329/x
  3. Step 3: Cross multiply
    103,696x = 223,329 × 223,329
  4. Step 4: Simplify right side
    103,696x = 49,875,842,241
  5. Step 5: Solve for x
    x = 49,875,842,241/103,696
  6. Step 6: Final answer
    x = 480,981.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.