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Finding the Third Proportional to 117,005.50 and 228,179

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Solution

The third proportional to 117,005.50 and 228,179 is: 444,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005.50 : 228,179 = 228,179 : x
  2. Step 2: Convert to fraction form
    117,005.50/228,179 = 228,179/x
  3. Step 3: Cross multiply
    117,005.50x = 228,179 × 228,179
  4. Step 4: Simplify right side
    117,005.50x = 52,065,656,041
  5. Step 5: Solve for x
    x = 52,065,656,041/117,005.50
  6. Step 6: Final answer
    x = 444,984.69

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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.