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Finding the Third Proportional to 227,186 and 351,411

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Solution

The third proportional to 227,186 and 351,411 is: 543,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,186 : 351,411 = 351,411 : x
  2. Step 2: Convert to fraction form
    227,186/351,411 = 351,411/x
  3. Step 3: Cross multiply
    227,186x = 351,411 × 351,411
  4. Step 4: Simplify right side
    227,186x = 123,489,690,921
  5. Step 5: Solve for x
    x = 123,489,690,921/227,186
  6. Step 6: Final answer
    x = 543,562.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.