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Finding the Third Proportional to 203,096 and 314,318

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Solution

The third proportional to 203,096 and 314,318 is: 486,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,096 : 314,318 = 314,318 : x
  2. Step 2: Convert to fraction form
    203,096/314,318 = 314,318/x
  3. Step 3: Cross multiply
    203,096x = 314,318 × 314,318
  4. Step 4: Simplify right side
    203,096x = 98,795,805,124
  5. Step 5: Solve for x
    x = 98,795,805,124/203,096
  6. Step 6: Final answer
    x = 486,448.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.