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Finding the Third Proportional to 105,184 and 228,512

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Solution

The third proportional to 105,184 and 228,512 is: 496,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,184 : 228,512 = 228,512 : x
  2. Step 2: Convert to fraction form
    105,184/228,512 = 228,512/x
  3. Step 3: Cross multiply
    105,184x = 228,512 × 228,512
  4. Step 4: Simplify right side
    105,184x = 52,217,734,144
  5. Step 5: Solve for x
    x = 52,217,734,144/105,184
  6. Step 6: Final answer
    x = 496,441.80

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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.