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Finding the Third Proportional to 228,751 and 347,014.50

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Solution

The third proportional to 228,751 and 347,014.50 is: 526,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,751 : 347,014.50 = 347,014.50 : x
  2. Step 2: Convert to fraction form
    228,751/347,014.50 = 347,014.50/x
  3. Step 3: Cross multiply
    228,751x = 347,014.50 × 347,014.50
  4. Step 4: Simplify right side
    228,751x = 120,419,063,210.25
  5. Step 5: Solve for x
    x = 120,419,063,210.25/228,751
  6. Step 6: Final answer
    x = 526,419.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.