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Finding the Third Proportional to 156,756 and 332,880

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Solution

The third proportional to 156,756 and 332,880 is: 706,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,756 : 332,880 = 332,880 : x
  2. Step 2: Convert to fraction form
    156,756/332,880 = 332,880/x
  3. Step 3: Cross multiply
    156,756x = 332,880 × 332,880
  4. Step 4: Simplify right side
    156,756x = 110,809,094,400
  5. Step 5: Solve for x
    x = 110,809,094,400/156,756
  6. Step 6: Final answer
    x = 706,889.01

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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.