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Finding the Third Proportional to 173,968 and 269,370

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Solution

The third proportional to 173,968 and 269,370 is: 417,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,968 : 269,370 = 269,370 : x
  2. Step 2: Convert to fraction form
    173,968/269,370 = 269,370/x
  3. Step 3: Cross multiply
    173,968x = 269,370 × 269,370
  4. Step 4: Simplify right side
    173,968x = 72,560,196,900
  5. Step 5: Solve for x
    x = 72,560,196,900/173,968
  6. Step 6: Final answer
    x = 417,089.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.