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Finding the Third Proportional to 244,096 and 354,945

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Solution

The third proportional to 244,096 and 354,945 is: 516,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,096 : 354,945 = 354,945 : x
  2. Step 2: Convert to fraction form
    244,096/354,945 = 354,945/x
  3. Step 3: Cross multiply
    244,096x = 354,945 × 354,945
  4. Step 4: Simplify right side
    244,096x = 125,985,953,025
  5. Step 5: Solve for x
    x = 125,985,953,025/244,096
  6. Step 6: Final answer
    x = 516,132.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.