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Finding the Third Proportional to 114,999.75 and 247,495.50

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Solution

The third proportional to 114,999.75 and 247,495.50 is: 532,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,999.75 : 247,495.50 = 247,495.50 : x
  2. Step 2: Convert to fraction form
    114,999.75/247,495.50 = 247,495.50/x
  3. Step 3: Cross multiply
    114,999.75x = 247,495.50 × 247,495.50
  4. Step 4: Simplify right side
    114,999.75x = 61,254,022,520.25
  5. Step 5: Solve for x
    x = 61,254,022,520.25/114,999.75
  6. Step 6: Final answer
    x = 532,644.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.