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Finding the Third Proportional to 156,782 and 234,803

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Solution

The third proportional to 156,782 and 234,803 is: 351,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 234,803 = 234,803 : x
  2. Step 2: Convert to fraction form
    156,782/234,803 = 234,803/x
  3. Step 3: Cross multiply
    156,782x = 234,803 × 234,803
  4. Step 4: Simplify right side
    156,782x = 55,132,448,809
  5. Step 5: Solve for x
    x = 55,132,448,809/156,782
  6. Step 6: Final answer
    x = 351,650.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.