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Finding the Third Proportional to 116,399 and 254,668

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Solution

The third proportional to 116,399 and 254,668 is: 557,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,399 : 254,668 = 254,668 : x
  2. Step 2: Convert to fraction form
    116,399/254,668 = 254,668/x
  3. Step 3: Cross multiply
    116,399x = 254,668 × 254,668
  4. Step 4: Simplify right side
    116,399x = 64,855,790,224
  5. Step 5: Solve for x
    x = 64,855,790,224/116,399
  6. Step 6: Final answer
    x = 557,185.12

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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.