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Finding the Third Proportional to 116,854 and 255,324

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Solution

The third proportional to 116,854 and 255,324 is: 557,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,854 : 255,324 = 255,324 : x
  2. Step 2: Convert to fraction form
    116,854/255,324 = 255,324/x
  3. Step 3: Cross multiply
    116,854x = 255,324 × 255,324
  4. Step 4: Simplify right side
    116,854x = 65,190,344,976
  5. Step 5: Solve for x
    x = 65,190,344,976/116,854
  6. Step 6: Final answer
    x = 557,878.59

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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.