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Finding the Third Proportional to 151,532 and 231,910

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Solution

The third proportional to 151,532 and 231,910 is: 354,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,532 : 231,910 = 231,910 : x
  2. Step 2: Convert to fraction form
    151,532/231,910 = 231,910/x
  3. Step 3: Cross multiply
    151,532x = 231,910 × 231,910
  4. Step 4: Simplify right side
    151,532x = 53,782,248,100
  5. Step 5: Solve for x
    x = 53,782,248,100/151,532
  6. Step 6: Final answer
    x = 354,923.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.