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Finding the Third Proportional to 194,806.50 and 311,211

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Solution

The third proportional to 194,806.50 and 311,211 is: 497,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806.50 : 311,211 = 311,211 : x
  2. Step 2: Convert to fraction form
    194,806.50/311,211 = 311,211/x
  3. Step 3: Cross multiply
    194,806.50x = 311,211 × 311,211
  4. Step 4: Simplify right side
    194,806.50x = 96,852,286,521
  5. Step 5: Solve for x
    x = 96,852,286,521/194,806.50
  6. Step 6: Final answer
    x = 497,171.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.