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Finding the Third Proportional to 146,792 and 226,818

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Solution

The third proportional to 146,792 and 226,818 is: 350,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,792 : 226,818 = 226,818 : x
  2. Step 2: Convert to fraction form
    146,792/226,818 = 226,818/x
  3. Step 3: Cross multiply
    146,792x = 226,818 × 226,818
  4. Step 4: Simplify right side
    146,792x = 51,446,405,124
  5. Step 5: Solve for x
    x = 51,446,405,124/146,792
  6. Step 6: Final answer
    x = 350,471.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.