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Finding the Third Proportional to 117,024 and 228,144

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Solution

The third proportional to 117,024 and 228,144 is: 444,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024 : 228,144 = 228,144 : x
  2. Step 2: Convert to fraction form
    117,024/228,144 = 228,144/x
  3. Step 3: Cross multiply
    117,024x = 228,144 × 228,144
  4. Step 4: Simplify right side
    117,024x = 52,049,684,736
  5. Step 5: Solve for x
    x = 52,049,684,736/117,024
  6. Step 6: Final answer
    x = 444,777.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.