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Finding the Third Proportional to 117,686 and 255,028

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Solution

The third proportional to 117,686 and 255,028 is: 552,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,686 : 255,028 = 255,028 : x
  2. Step 2: Convert to fraction form
    117,686/255,028 = 255,028/x
  3. Step 3: Cross multiply
    117,686x = 255,028 × 255,028
  4. Step 4: Simplify right side
    117,686x = 65,039,280,784
  5. Step 5: Solve for x
    x = 65,039,280,784/117,686
  6. Step 6: Final answer
    x = 552,650.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.