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Finding the Third Proportional to 228,630.75 and 326,131.50

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Solution

The third proportional to 228,630.75 and 326,131.50 is: 465,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,630.75 : 326,131.50 = 326,131.50 : x
  2. Step 2: Convert to fraction form
    228,630.75/326,131.50 = 326,131.50/x
  3. Step 3: Cross multiply
    228,630.75x = 326,131.50 × 326,131.50
  4. Step 4: Simplify right side
    228,630.75x = 106,361,755,292.25
  5. Step 5: Solve for x
    x = 106,361,755,292.25/228,630.75
  6. Step 6: Final answer
    x = 465,211.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.