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Finding the Third Proportional to 156,933 and 342,296

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Solution

The third proportional to 156,933 and 342,296 is: 746,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,933 : 342,296 = 342,296 : x
  2. Step 2: Convert to fraction form
    156,933/342,296 = 342,296/x
  3. Step 3: Cross multiply
    156,933x = 342,296 × 342,296
  4. Step 4: Simplify right side
    156,933x = 117,166,551,616
  5. Step 5: Solve for x
    x = 117,166,551,616/156,933
  6. Step 6: Final answer
    x = 746,602.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.