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Finding the Third Proportional to 95,248 and 209,296

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Solution

The third proportional to 95,248 and 209,296 is: 459,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,248 : 209,296 = 209,296 : x
  2. Step 2: Convert to fraction form
    95,248/209,296 = 209,296/x
  3. Step 3: Cross multiply
    95,248x = 209,296 × 209,296
  4. Step 4: Simplify right side
    95,248x = 43,804,815,616
  5. Step 5: Solve for x
    x = 43,804,815,616/95,248
  6. Step 6: Final answer
    x = 459,902.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.