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Finding the Third Proportional to 227,157.75 and 336,339

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Solution

The third proportional to 227,157.75 and 336,339 is: 497,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,157.75 : 336,339 = 336,339 : x
  2. Step 2: Convert to fraction form
    227,157.75/336,339 = 336,339/x
  3. Step 3: Cross multiply
    227,157.75x = 336,339 × 336,339
  4. Step 4: Simplify right side
    227,157.75x = 113,123,922,921
  5. Step 5: Solve for x
    x = 113,123,922,921/227,157.75
  6. Step 6: Final answer
    x = 497,997.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.