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Finding the Third Proportional to 176,046.75 and 264,912.75

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Solution

The third proportional to 176,046.75 and 264,912.75 is: 398,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,046.75 : 264,912.75 = 264,912.75 : x
  2. Step 2: Convert to fraction form
    176,046.75/264,912.75 = 264,912.75/x
  3. Step 3: Cross multiply
    176,046.75x = 264,912.75 × 264,912.75
  4. Step 4: Simplify right side
    176,046.75x = 70,178,765,112.56
  5. Step 5: Solve for x
    x = 70,178,765,112.56/176,046.75
  6. Step 6: Final answer
    x = 398,637.10

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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.