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Finding the Third Proportional to 116,858.25 and 255,330

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Solution

The third proportional to 116,858.25 and 255,330 is: 557,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,858.25 : 255,330 = 255,330 : x
  2. Step 2: Convert to fraction form
    116,858.25/255,330 = 255,330/x
  3. Step 3: Cross multiply
    116,858.25x = 255,330 × 255,330
  4. Step 4: Simplify right side
    116,858.25x = 65,193,408,900
  5. Step 5: Solve for x
    x = 65,193,408,900/116,858.25
  6. Step 6: Final answer
    x = 557,884.52

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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.