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Finding the Third Proportional to 132,306 and 192,619

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Solution

The third proportional to 132,306 and 192,619 is: 280,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,306 : 192,619 = 192,619 : x
  2. Step 2: Convert to fraction form
    132,306/192,619 = 192,619/x
  3. Step 3: Cross multiply
    132,306x = 192,619 × 192,619
  4. Step 4: Simplify right side
    132,306x = 37,102,079,161
  5. Step 5: Solve for x
    x = 37,102,079,161/132,306
  6. Step 6: Final answer
    x = 280,426.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.