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Finding the Third Proportional to 228,274.31 and 354,845.53

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Solution

The third proportional to 228,274.31 and 354,845.53 is: 551,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,274.31 : 354,845.53 = 354,845.53 : x
  2. Step 2: Convert to fraction form
    228,274.31/354,845.53 = 354,845.53/x
  3. Step 3: Cross multiply
    228,274.31x = 354,845.53 × 354,845.53
  4. Step 4: Simplify right side
    228,274.31x = 125,915,351,048.10
  5. Step 5: Solve for x
    x = 125,915,351,048.10/228,274.31
  6. Step 6: Final answer
    x = 551,596.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.