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Finding the Third Proportional to 156,442.50 and 343,980

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Solution

The third proportional to 156,442.50 and 343,980 is: 756,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,442.50 : 343,980 = 343,980 : x
  2. Step 2: Convert to fraction form
    156,442.50/343,980 = 343,980/x
  3. Step 3: Cross multiply
    156,442.50x = 343,980 × 343,980
  4. Step 4: Simplify right side
    156,442.50x = 118,322,240,400
  5. Step 5: Solve for x
    x = 118,322,240,400/156,442.50
  6. Step 6: Final answer
    x = 756,330.54

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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.