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Finding the Third Proportional to 146,622 and 228,687

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Solution

The third proportional to 146,622 and 228,687 is: 356,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,622 : 228,687 = 228,687 : x
  2. Step 2: Convert to fraction form
    146,622/228,687 = 228,687/x
  3. Step 3: Cross multiply
    146,622x = 228,687 × 228,687
  4. Step 4: Simplify right side
    146,622x = 52,297,743,969
  5. Step 5: Solve for x
    x = 52,297,743,969/146,622
  6. Step 6: Final answer
    x = 356,684.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.