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Finding the Third Proportional to 227,038.50 and 351,524.50

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Solution

The third proportional to 227,038.50 and 351,524.50 is: 544,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,038.50 : 351,524.50 = 351,524.50 : x
  2. Step 2: Convert to fraction form
    227,038.50/351,524.50 = 351,524.50/x
  3. Step 3: Cross multiply
    227,038.50x = 351,524.50 × 351,524.50
  4. Step 4: Simplify right side
    227,038.50x = 123,569,474,100.25
  5. Step 5: Solve for x
    x = 123,569,474,100.25/227,038.50
  6. Step 6: Final answer
    x = 544,266.61

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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.