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Finding the Third Proportional to 96,256 and 209,984

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Solution

The third proportional to 96,256 and 209,984 is: 458,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,256 : 209,984 = 209,984 : x
  2. Step 2: Convert to fraction form
    96,256/209,984 = 209,984/x
  3. Step 3: Cross multiply
    96,256x = 209,984 × 209,984
  4. Step 4: Simplify right side
    96,256x = 44,093,280,256
  5. Step 5: Solve for x
    x = 44,093,280,256/96,256
  6. Step 6: Final answer
    x = 458,083.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.