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Finding the Third Proportional to 117,010 and 228,187

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Solution

The third proportional to 117,010 and 228,187 is: 444,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,010 : 228,187 = 228,187 : x
  2. Step 2: Convert to fraction form
    117,010/228,187 = 228,187/x
  3. Step 3: Cross multiply
    117,010x = 228,187 × 228,187
  4. Step 4: Simplify right side
    117,010x = 52,069,306,969
  5. Step 5: Solve for x
    x = 52,069,306,969/117,010
  6. Step 6: Final answer
    x = 444,998.78

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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.