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Finding the Third Proportional to 116,716 and 254,556

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Solution

The third proportional to 116,716 and 254,556 is: 555,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,716 : 254,556 = 254,556 : x
  2. Step 2: Convert to fraction form
    116,716/254,556 = 254,556/x
  3. Step 3: Cross multiply
    116,716x = 254,556 × 254,556
  4. Step 4: Simplify right side
    116,716x = 64,798,757,136
  5. Step 5: Solve for x
    x = 64,798,757,136/116,716
  6. Step 6: Final answer
    x = 555,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.