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Finding the Third Proportional to 156,500 and 332,392

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Solution

The third proportional to 156,500 and 332,392 is: 705,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,500 : 332,392 = 332,392 : x
  2. Step 2: Convert to fraction form
    156,500/332,392 = 332,392/x
  3. Step 3: Cross multiply
    156,500x = 332,392 × 332,392
  4. Step 4: Simplify right side
    156,500x = 110,484,441,664
  5. Step 5: Solve for x
    x = 110,484,441,664/156,500
  6. Step 6: Final answer
    x = 705,970.87

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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.