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Finding the Third Proportional to 228,933 and 336,549

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Solution

The third proportional to 228,933 and 336,549 is: 494,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,933 : 336,549 = 336,549 : x
  2. Step 2: Convert to fraction form
    228,933/336,549 = 336,549/x
  3. Step 3: Cross multiply
    228,933x = 336,549 × 336,549
  4. Step 4: Simplify right side
    228,933x = 113,265,229,401
  5. Step 5: Solve for x
    x = 113,265,229,401/228,933
  6. Step 6: Final answer
    x = 494,752.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.