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Finding the Third Proportional to 119,682 and 282,339

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Solution

The third proportional to 119,682 and 282,339 is: 666,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,682 : 282,339 = 282,339 : x
  2. Step 2: Convert to fraction form
    119,682/282,339 = 282,339/x
  3. Step 3: Cross multiply
    119,682x = 282,339 × 282,339
  4. Step 4: Simplify right side
    119,682x = 79,715,310,921
  5. Step 5: Solve for x
    x = 79,715,310,921/119,682
  6. Step 6: Final answer
    x = 666,059.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.