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Finding the Third Proportional to 132,162 and 282,756

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Solution

The third proportional to 132,162 and 282,756 is: 604,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162 : 282,756 = 282,756 : x
  2. Step 2: Convert to fraction form
    132,162/282,756 = 282,756/x
  3. Step 3: Cross multiply
    132,162x = 282,756 × 282,756
  4. Step 4: Simplify right side
    132,162x = 79,950,955,536
  5. Step 5: Solve for x
    x = 79,950,955,536/132,162
  6. Step 6: Final answer
    x = 604,946.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.