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Finding the Third Proportional to 208,840.50 and 336,264.75

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Solution

The third proportional to 208,840.50 and 336,264.75 is: 541,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,840.50 : 336,264.75 = 336,264.75 : x
  2. Step 2: Convert to fraction form
    208,840.50/336,264.75 = 336,264.75/x
  3. Step 3: Cross multiply
    208,840.50x = 336,264.75 × 336,264.75
  4. Step 4: Simplify right side
    208,840.50x = 113,073,982,092.56
  5. Step 5: Solve for x
    x = 113,073,982,092.56/208,840.50
  6. Step 6: Final answer
    x = 541,437.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.