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Finding the Third Proportional to 118,013 and 255,718

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Solution

The third proportional to 118,013 and 255,718 is: 554,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,013 : 255,718 = 255,718 : x
  2. Step 2: Convert to fraction form
    118,013/255,718 = 255,718/x
  3. Step 3: Cross multiply
    118,013x = 255,718 × 255,718
  4. Step 4: Simplify right side
    118,013x = 65,391,695,524
  5. Step 5: Solve for x
    x = 65,391,695,524/118,013
  6. Step 6: Final answer
    x = 554,105.87

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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.