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Finding the Third Proportional to 116,836 and 255,293

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Solution

The third proportional to 116,836 and 255,293 is: 557,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,836 : 255,293 = 255,293 : x
  2. Step 2: Convert to fraction form
    116,836/255,293 = 255,293/x
  3. Step 3: Cross multiply
    116,836x = 255,293 × 255,293
  4. Step 4: Simplify right side
    116,836x = 65,174,515,849
  5. Step 5: Solve for x
    x = 65,174,515,849/116,836
  6. Step 6: Final answer
    x = 557,829.06

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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.