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Finding the Third Proportional to 195,860 and 408,748

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Solution

The third proportional to 195,860 and 408,748 is: 853,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,860 : 408,748 = 408,748 : x
  2. Step 2: Convert to fraction form
    195,860/408,748 = 408,748/x
  3. Step 3: Cross multiply
    195,860x = 408,748 × 408,748
  4. Step 4: Simplify right side
    195,860x = 167,074,927,504
  5. Step 5: Solve for x
    x = 167,074,927,504/195,860
  6. Step 6: Final answer
    x = 853,032.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.