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Finding the Third Proportional to 208,194 and 311,719.50

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Solution

The third proportional to 208,194 and 311,719.50 is: 466,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,194 : 311,719.50 = 311,719.50 : x
  2. Step 2: Convert to fraction form
    208,194/311,719.50 = 311,719.50/x
  3. Step 3: Cross multiply
    208,194x = 311,719.50 × 311,719.50
  4. Step 4: Simplify right side
    208,194x = 97,169,046,680.25
  5. Step 5: Solve for x
    x = 97,169,046,680.25/208,194
  6. Step 6: Final answer
    x = 466,723.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.