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Finding the Third Proportional to 228,514 and 341,758

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Solution

The third proportional to 228,514 and 341,758 is: 511,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,514 : 341,758 = 341,758 : x
  2. Step 2: Convert to fraction form
    228,514/341,758 = 341,758/x
  3. Step 3: Cross multiply
    228,514x = 341,758 × 341,758
  4. Step 4: Simplify right side
    228,514x = 116,798,530,564
  5. Step 5: Solve for x
    x = 116,798,530,564/228,514
  6. Step 6: Final answer
    x = 511,121.99

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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.