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Finding the Third Proportional to 228,520 and 341,767

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Solution

The third proportional to 228,520 and 341,767 is: 511,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,520 : 341,767 = 341,767 : x
  2. Step 2: Convert to fraction form
    228,520/341,767 = 341,767/x
  3. Step 3: Cross multiply
    228,520x = 341,767 × 341,767
  4. Step 4: Simplify right side
    228,520x = 116,804,682,289
  5. Step 5: Solve for x
    x = 116,804,682,289/228,520
  6. Step 6: Final answer
    x = 511,135.49

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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.