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Finding the Third Proportional to 159,707 and 247,247

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Solution

The third proportional to 159,707 and 247,247 is: 382,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,707 : 247,247 = 247,247 : x
  2. Step 2: Convert to fraction form
    159,707/247,247 = 247,247/x
  3. Step 3: Cross multiply
    159,707x = 247,247 × 247,247
  4. Step 4: Simplify right side
    159,707x = 61,131,079,009
  5. Step 5: Solve for x
    x = 61,131,079,009/159,707
  6. Step 6: Final answer
    x = 382,770.19

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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.