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Finding the Third Proportional to 227,154 and 351,683

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Solution

The third proportional to 227,154 and 351,683 is: 544,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,154 : 351,683 = 351,683 : x
  2. Step 2: Convert to fraction form
    227,154/351,683 = 351,683/x
  3. Step 3: Cross multiply
    227,154x = 351,683 × 351,683
  4. Step 4: Simplify right side
    227,154x = 123,680,932,489
  5. Step 5: Solve for x
    x = 123,680,932,489/227,154
  6. Step 6: Final answer
    x = 544,480.54

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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.