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Finding the Third Proportional to 117,398 and 228,910

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Solution

The third proportional to 117,398 and 228,910 is: 446,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,398 : 228,910 = 228,910 : x
  2. Step 2: Convert to fraction form
    117,398/228,910 = 228,910/x
  3. Step 3: Cross multiply
    117,398x = 228,910 × 228,910
  4. Step 4: Simplify right side
    117,398x = 52,399,788,100
  5. Step 5: Solve for x
    x = 52,399,788,100/117,398
  6. Step 6: Final answer
    x = 446,343.11

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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.