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Finding the Third Proportional to 168,961 and 228,068

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Solution

The third proportional to 168,961 and 228,068 is: 307,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,961 : 228,068 = 228,068 : x
  2. Step 2: Convert to fraction form
    168,961/228,068 = 228,068/x
  3. Step 3: Cross multiply
    168,961x = 228,068 × 228,068
  4. Step 4: Simplify right side
    168,961x = 52,015,012,624
  5. Step 5: Solve for x
    x = 52,015,012,624/168,961
  6. Step 6: Final answer
    x = 307,852.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.