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Finding the Third Proportional to 118,853 and 263,950

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Solution

The third proportional to 118,853 and 263,950 is: 586,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,853 : 263,950 = 263,950 : x
  2. Step 2: Convert to fraction form
    118,853/263,950 = 263,950/x
  3. Step 3: Cross multiply
    118,853x = 263,950 × 263,950
  4. Step 4: Simplify right side
    118,853x = 69,669,602,500
  5. Step 5: Solve for x
    x = 69,669,602,500/118,853
  6. Step 6: Final answer
    x = 586,182.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.