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Finding the Third Proportional to 116,820 and 255,753

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Solution

The third proportional to 116,820 and 255,753 is: 559,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,820 : 255,753 = 255,753 : x
  2. Step 2: Convert to fraction form
    116,820/255,753 = 255,753/x
  3. Step 3: Cross multiply
    116,820x = 255,753 × 255,753
  4. Step 4: Simplify right side
    116,820x = 65,409,597,009
  5. Step 5: Solve for x
    x = 65,409,597,009/116,820
  6. Step 6: Final answer
    x = 559,917.80

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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.