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Finding the Third Proportional to 156,744 and 332,119

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Solution

The third proportional to 156,744 and 332,119 is: 703,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 332,119 = 332,119 : x
  2. Step 2: Convert to fraction form
    156,744/332,119 = 332,119/x
  3. Step 3: Cross multiply
    156,744x = 332,119 × 332,119
  4. Step 4: Simplify right side
    156,744x = 110,303,030,161
  5. Step 5: Solve for x
    x = 110,303,030,161/156,744
  6. Step 6: Final answer
    x = 703,714.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.