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Finding the Third Proportional to 117,028 and 228,218

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Solution

The third proportional to 117,028 and 228,218 is: 445,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,028 : 228,218 = 228,218 : x
  2. Step 2: Convert to fraction form
    117,028/228,218 = 228,218/x
  3. Step 3: Cross multiply
    117,028x = 228,218 × 228,218
  4. Step 4: Simplify right side
    117,028x = 52,083,455,524
  5. Step 5: Solve for x
    x = 52,083,455,524/117,028
  6. Step 6: Final answer
    x = 445,051.23

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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.