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Finding the Third Proportional to 227,373 and 344,231.50

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Solution

The third proportional to 227,373 and 344,231.50 is: 521,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,373 : 344,231.50 = 344,231.50 : x
  2. Step 2: Convert to fraction form
    227,373/344,231.50 = 344,231.50/x
  3. Step 3: Cross multiply
    227,373x = 344,231.50 × 344,231.50
  4. Step 4: Simplify right side
    227,373x = 118,495,325,592.25
  5. Step 5: Solve for x
    x = 118,495,325,592.25/227,373
  6. Step 6: Final answer
    x = 521,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.