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Finding the Third Proportional to 118,738 and 255,908

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Solution

The third proportional to 118,738 and 255,908 is: 551,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,738 : 255,908 = 255,908 : x
  2. Step 2: Convert to fraction form
    118,738/255,908 = 255,908/x
  3. Step 3: Cross multiply
    118,738x = 255,908 × 255,908
  4. Step 4: Simplify right side
    118,738x = 65,488,904,464
  5. Step 5: Solve for x
    x = 65,488,904,464/118,738
  6. Step 6: Final answer
    x = 551,541.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.