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Finding the Third Proportional to 151,802 and 226,470

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Solution

The third proportional to 151,802 and 226,470 is: 337,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,802 : 226,470 = 226,470 : x
  2. Step 2: Convert to fraction form
    151,802/226,470 = 226,470/x
  3. Step 3: Cross multiply
    151,802x = 226,470 × 226,470
  4. Step 4: Simplify right side
    151,802x = 51,288,660,900
  5. Step 5: Solve for x
    x = 51,288,660,900/151,802
  6. Step 6: Final answer
    x = 337,865.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.