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Finding the Third Proportional to 121,968 and 263,376

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Solution

The third proportional to 121,968 and 263,376 is: 568,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,968 : 263,376 = 263,376 : x
  2. Step 2: Convert to fraction form
    121,968/263,376 = 263,376/x
  3. Step 3: Cross multiply
    121,968x = 263,376 × 263,376
  4. Step 4: Simplify right side
    121,968x = 69,366,917,376
  5. Step 5: Solve for x
    x = 69,366,917,376/121,968
  6. Step 6: Final answer
    x = 568,730.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.