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Finding the Third Proportional to 226,336.50 and 313,777.50

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Solution

The third proportional to 226,336.50 and 313,777.50 is: 434,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,336.50 : 313,777.50 = 313,777.50 : x
  2. Step 2: Convert to fraction form
    226,336.50/313,777.50 = 313,777.50/x
  3. Step 3: Cross multiply
    226,336.50x = 313,777.50 × 313,777.50
  4. Step 4: Simplify right side
    226,336.50x = 98,456,319,506.25
  5. Step 5: Solve for x
    x = 98,456,319,506.25/226,336.50
  6. Step 6: Final answer
    x = 434,999.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.