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Finding the Third Proportional to 116,884 and 255,638

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Solution

The third proportional to 116,884 and 255,638 is: 559,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,884 : 255,638 = 255,638 : x
  2. Step 2: Convert to fraction form
    116,884/255,638 = 255,638/x
  3. Step 3: Cross multiply
    116,884x = 255,638 × 255,638
  4. Step 4: Simplify right side
    116,884x = 65,350,787,044
  5. Step 5: Solve for x
    x = 65,350,787,044/116,884
  6. Step 6: Final answer
    x = 559,108.06

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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.