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Finding the Third Proportional to 151,023 and 331,108

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Solution

The third proportional to 151,023 and 331,108 is: 725,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,023 : 331,108 = 331,108 : x
  2. Step 2: Convert to fraction form
    151,023/331,108 = 331,108/x
  3. Step 3: Cross multiply
    151,023x = 331,108 × 331,108
  4. Step 4: Simplify right side
    151,023x = 109,632,507,664
  5. Step 5: Solve for x
    x = 109,632,507,664/151,023
  6. Step 6: Final answer
    x = 725,932.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.