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Finding the Third Proportional to 116,829 and 255,279

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Solution

The third proportional to 116,829 and 255,279 is: 557,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829 : 255,279 = 255,279 : x
  2. Step 2: Convert to fraction form
    116,829/255,279 = 255,279/x
  3. Step 3: Cross multiply
    116,829x = 255,279 × 255,279
  4. Step 4: Simplify right side
    116,829x = 65,167,367,841
  5. Step 5: Solve for x
    x = 65,167,367,841/116,829
  6. Step 6: Final answer
    x = 557,801.30

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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.