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Finding the Third Proportional to 207,546 and 311,318

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Solution

The third proportional to 207,546 and 311,318 is: 466,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,546 : 311,318 = 311,318 : x
  2. Step 2: Convert to fraction form
    207,546/311,318 = 311,318/x
  3. Step 3: Cross multiply
    207,546x = 311,318 × 311,318
  4. Step 4: Simplify right side
    207,546x = 96,918,897,124
  5. Step 5: Solve for x
    x = 96,918,897,124/207,546
  6. Step 6: Final answer
    x = 466,975.50

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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.