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Finding the Third Proportional to 253,318.50 and 395,314.50

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Solution

The third proportional to 253,318.50 and 395,314.50 is: 616,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,318.50 : 395,314.50 = 395,314.50 : x
  2. Step 2: Convert to fraction form
    253,318.50/395,314.50 = 395,314.50/x
  3. Step 3: Cross multiply
    253,318.50x = 395,314.50 × 395,314.50
  4. Step 4: Simplify right side
    253,318.50x = 156,273,553,910.25
  5. Step 5: Solve for x
    x = 156,273,553,910.25/253,318.50
  6. Step 6: Final answer
    x = 616,905.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.