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Finding the Third Proportional to 234,144 and 516,096

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Solution

The third proportional to 234,144 and 516,096 is: 1,137,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,144 : 516,096 = 516,096 : x
  2. Step 2: Convert to fraction form
    234,144/516,096 = 516,096/x
  3. Step 3: Cross multiply
    234,144x = 516,096 × 516,096
  4. Step 4: Simplify right side
    234,144x = 266,355,081,216
  5. Step 5: Solve for x
    x = 266,355,081,216/234,144
  6. Step 6: Final answer
    x = 1,137,569.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.