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Finding the Third Proportional to 118,033 and 255,754

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Solution

The third proportional to 118,033 and 255,754 is: 554,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,033 : 255,754 = 255,754 : x
  2. Step 2: Convert to fraction form
    118,033/255,754 = 255,754/x
  3. Step 3: Cross multiply
    118,033x = 255,754 × 255,754
  4. Step 4: Simplify right side
    118,033x = 65,410,108,516
  5. Step 5: Solve for x
    x = 65,410,108,516/118,033
  6. Step 6: Final answer
    x = 554,167.97

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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.