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Finding the Third Proportional to 116,979.75 and 256,223.25

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Solution

The third proportional to 116,979.75 and 256,223.25 is: 561,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,979.75 : 256,223.25 = 256,223.25 : x
  2. Step 2: Convert to fraction form
    116,979.75/256,223.25 = 256,223.25/x
  3. Step 3: Cross multiply
    116,979.75x = 256,223.25 × 256,223.25
  4. Step 4: Simplify right side
    116,979.75x = 65,650,353,840.56
  5. Step 5: Solve for x
    x = 65,650,353,840.56/116,979.75
  6. Step 6: Final answer
    x = 561,211.27

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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.