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Finding the Third Proportional to 116,682 and 254,481

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Solution

The third proportional to 116,682 and 254,481 is: 555,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,682 : 254,481 = 254,481 : x
  2. Step 2: Convert to fraction form
    116,682/254,481 = 254,481/x
  3. Step 3: Cross multiply
    116,682x = 254,481 × 254,481
  4. Step 4: Simplify right side
    116,682x = 64,760,579,361
  5. Step 5: Solve for x
    x = 64,760,579,361/116,682
  6. Step 6: Final answer
    x = 555,017.74

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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.