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Finding the Third Proportional to 163,876 and 244,770

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Solution

The third proportional to 163,876 and 244,770 is: 365,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,876 : 244,770 = 244,770 : x
  2. Step 2: Convert to fraction form
    163,876/244,770 = 244,770/x
  3. Step 3: Cross multiply
    163,876x = 244,770 × 244,770
  4. Step 4: Simplify right side
    163,876x = 59,912,352,900
  5. Step 5: Solve for x
    x = 59,912,352,900/163,876
  6. Step 6: Final answer
    x = 365,595.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.