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Finding the Third Proportional to 117,056 and 228,208

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Solution

The third proportional to 117,056 and 228,208 is: 444,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,056 : 228,208 = 228,208 : x
  2. Step 2: Convert to fraction form
    117,056/228,208 = 228,208/x
  3. Step 3: Cross multiply
    117,056x = 228,208 × 228,208
  4. Step 4: Simplify right side
    117,056x = 52,078,891,264
  5. Step 5: Solve for x
    x = 52,078,891,264/117,056
  6. Step 6: Final answer
    x = 444,905.78

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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.