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Finding the Third Proportional to 116,919 and 282,699

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Solution

The third proportional to 116,919 and 282,699 is: 683,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,919 : 282,699 = 282,699 : x
  2. Step 2: Convert to fraction form
    116,919/282,699 = 282,699/x
  3. Step 3: Cross multiply
    116,919x = 282,699 × 282,699
  4. Step 4: Simplify right side
    116,919x = 79,918,724,601
  5. Step 5: Solve for x
    x = 79,918,724,601/116,919
  6. Step 6: Final answer
    x = 683,539.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.