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Finding the Third Proportional to 207,318 and 311,139

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Solution

The third proportional to 207,318 and 311,139 is: 466,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318 : 311,139 = 311,139 : x
  2. Step 2: Convert to fraction form
    207,318/311,139 = 311,139/x
  3. Step 3: Cross multiply
    207,318x = 311,139 × 311,139
  4. Step 4: Simplify right side
    207,318x = 96,807,477,321
  5. Step 5: Solve for x
    x = 96,807,477,321/207,318
  6. Step 6: Final answer
    x = 466,951.63

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