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Finding the Third Proportional to 228,516 and 341,761

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Solution

The third proportional to 228,516 and 341,761 is: 511,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,516 : 341,761 = 341,761 : x
  2. Step 2: Convert to fraction form
    228,516/341,761 = 341,761/x
  3. Step 3: Cross multiply
    228,516x = 341,761 × 341,761
  4. Step 4: Simplify right side
    228,516x = 116,800,581,121
  5. Step 5: Solve for x
    x = 116,800,581,121/228,516
  6. Step 6: Final answer
    x = 511,126.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.