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Finding the Third Proportional to 117,005 and 228,178

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Solution

The third proportional to 117,005 and 228,178 is: 444,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005 : 228,178 = 228,178 : x
  2. Step 2: Convert to fraction form
    117,005/228,178 = 228,178/x
  3. Step 3: Cross multiply
    117,005x = 228,178 × 228,178
  4. Step 4: Simplify right side
    117,005x = 52,065,199,684
  5. Step 5: Solve for x
    x = 52,065,199,684/117,005
  6. Step 6: Final answer
    x = 444,982.69

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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.