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Finding the Third Proportional to 153,842 and 331,108

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Solution

The third proportional to 153,842 and 331,108 is: 712,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842 : 331,108 = 331,108 : x
  2. Step 2: Convert to fraction form
    153,842/331,108 = 331,108/x
  3. Step 3: Cross multiply
    153,842x = 331,108 × 331,108
  4. Step 4: Simplify right side
    153,842x = 109,632,507,664
  5. Step 5: Solve for x
    x = 109,632,507,664/153,842
  6. Step 6: Final answer
    x = 712,630.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.