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Finding the Third Proportional to 228,718 and 326,769

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Solution

The third proportional to 228,718 and 326,769 is: 466,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,718 : 326,769 = 326,769 : x
  2. Step 2: Convert to fraction form
    228,718/326,769 = 326,769/x
  3. Step 3: Cross multiply
    228,718x = 326,769 × 326,769
  4. Step 4: Simplify right side
    228,718x = 106,777,979,361
  5. Step 5: Solve for x
    x = 106,777,979,361/228,718
  6. Step 6: Final answer
    x = 466,854.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.