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Finding the Third Proportional to 116,908 and 255,684

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Solution

The third proportional to 116,908 and 255,684 is: 559,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,908 : 255,684 = 255,684 : x
  2. Step 2: Convert to fraction form
    116,908/255,684 = 255,684/x
  3. Step 3: Cross multiply
    116,908x = 255,684 × 255,684
  4. Step 4: Simplify right side
    116,908x = 65,374,307,856
  5. Step 5: Solve for x
    x = 65,374,307,856/116,908
  6. Step 6: Final answer
    x = 559,194.48

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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.