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Finding the Third Proportional to 228,767 and 344,951

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Solution

The third proportional to 228,767 and 344,951 is: 520,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,767 : 344,951 = 344,951 : x
  2. Step 2: Convert to fraction form
    228,767/344,951 = 344,951/x
  3. Step 3: Cross multiply
    228,767x = 344,951 × 344,951
  4. Step 4: Simplify right side
    228,767x = 118,991,192,401
  5. Step 5: Solve for x
    x = 118,991,192,401/228,767
  6. Step 6: Final answer
    x = 520,141.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.