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Finding the Third Proportional to 102,936 and 223,248

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Solution

The third proportional to 102,936 and 223,248 is: 484,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936 : 223,248 = 223,248 : x
  2. Step 2: Convert to fraction form
    102,936/223,248 = 223,248/x
  3. Step 3: Cross multiply
    102,936x = 223,248 × 223,248
  4. Step 4: Simplify right side
    102,936x = 49,839,669,504
  5. Step 5: Solve for x
    x = 49,839,669,504/102,936
  6. Step 6: Final answer
    x = 484,181.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.