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Finding the Third Proportional to 116,816 and 255,745

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Solution

The third proportional to 116,816 and 255,745 is: 559,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,816 : 255,745 = 255,745 : x
  2. Step 2: Convert to fraction form
    116,816/255,745 = 255,745/x
  3. Step 3: Cross multiply
    116,816x = 255,745 × 255,745
  4. Step 4: Simplify right side
    116,816x = 65,405,505,025
  5. Step 5: Solve for x
    x = 65,405,505,025/116,816
  6. Step 6: Final answer
    x = 559,901.94

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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.