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Finding the Third Proportional to 228,252 and 343,068

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Solution

The third proportional to 228,252 and 343,068 is: 515,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,252 : 343,068 = 343,068 : x
  2. Step 2: Convert to fraction form
    228,252/343,068 = 343,068/x
  3. Step 3: Cross multiply
    228,252x = 343,068 × 343,068
  4. Step 4: Simplify right side
    228,252x = 117,695,652,624
  5. Step 5: Solve for x
    x = 117,695,652,624/228,252
  6. Step 6: Final answer
    x = 515,639.09

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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.