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Finding the Third Proportional to 239,105.50 and 334,324

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Solution

The third proportional to 239,105.50 and 334,324 is: 467,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,105.50 : 334,324 = 334,324 : x
  2. Step 2: Convert to fraction form
    239,105.50/334,324 = 334,324/x
  3. Step 3: Cross multiply
    239,105.50x = 334,324 × 334,324
  4. Step 4: Simplify right side
    239,105.50x = 111,772,536,976
  5. Step 5: Solve for x
    x = 111,772,536,976/239,105.50
  6. Step 6: Final answer
    x = 467,461.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.