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Finding the Third Proportional to 170,208 and 259,920

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Solution

The third proportional to 170,208 and 259,920 is: 396,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,208 : 259,920 = 259,920 : x
  2. Step 2: Convert to fraction form
    170,208/259,920 = 259,920/x
  3. Step 3: Cross multiply
    170,208x = 259,920 × 259,920
  4. Step 4: Simplify right side
    170,208x = 67,558,406,400
  5. Step 5: Solve for x
    x = 67,558,406,400/170,208
  6. Step 6: Final answer
    x = 396,916.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.