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Finding the Third Proportional to 148,576 and 324,256

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Solution

The third proportional to 148,576 and 324,256 is: 707,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,576 : 324,256 = 324,256 : x
  2. Step 2: Convert to fraction form
    148,576/324,256 = 324,256/x
  3. Step 3: Cross multiply
    148,576x = 324,256 × 324,256
  4. Step 4: Simplify right side
    148,576x = 105,141,953,536
  5. Step 5: Solve for x
    x = 105,141,953,536/148,576
  6. Step 6: Final answer
    x = 707,664.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.