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Finding the Third Proportional to 228,868.88 and 332,914.50

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Solution

The third proportional to 228,868.88 and 332,914.50 is: 484,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,868.88 : 332,914.50 = 332,914.50 : x
  2. Step 2: Convert to fraction form
    228,868.88/332,914.50 = 332,914.50/x
  3. Step 3: Cross multiply
    228,868.88x = 332,914.50 × 332,914.50
  4. Step 4: Simplify right side
    228,868.88x = 110,832,064,310.25
  5. Step 5: Solve for x
    x = 110,832,064,310.25/228,868.88
  6. Step 6: Final answer
    x = 484,260.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.