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Finding the Third Proportional to 118,002 and 255,679

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Solution

The third proportional to 118,002 and 255,679 is: 553,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,002 : 255,679 = 255,679 : x
  2. Step 2: Convert to fraction form
    118,002/255,679 = 255,679/x
  3. Step 3: Cross multiply
    118,002x = 255,679 × 255,679
  4. Step 4: Simplify right side
    118,002x = 65,371,751,041
  5. Step 5: Solve for x
    x = 65,371,751,041/118,002
  6. Step 6: Final answer
    x = 553,988.50

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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.