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Finding the Third Proportional to 156,418.50 and 343,941

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Solution

The third proportional to 156,418.50 and 343,941 is: 756,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,418.50 : 343,941 = 343,941 : x
  2. Step 2: Convert to fraction form
    156,418.50/343,941 = 343,941/x
  3. Step 3: Cross multiply
    156,418.50x = 343,941 × 343,941
  4. Step 4: Simplify right side
    156,418.50x = 118,295,411,481
  5. Step 5: Solve for x
    x = 118,295,411,481/156,418.50
  6. Step 6: Final answer
    x = 756,275.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.