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Finding the Third Proportional to 148,512 and 325,524

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Solution

The third proportional to 148,512 and 325,524 is: 713,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,512 : 325,524 = 325,524 : x
  2. Step 2: Convert to fraction form
    148,512/325,524 = 325,524/x
  3. Step 3: Cross multiply
    148,512x = 325,524 × 325,524
  4. Step 4: Simplify right side
    148,512x = 105,965,874,576
  5. Step 5: Solve for x
    x = 105,965,874,576/148,512
  6. Step 6: Final answer
    x = 713,517.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.