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Finding the Third Proportional to 157,652 and 231,868

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Solution

The third proportional to 157,652 and 231,868 is: 341,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,652 : 231,868 = 231,868 : x
  2. Step 2: Convert to fraction form
    157,652/231,868 = 231,868/x
  3. Step 3: Cross multiply
    157,652x = 231,868 × 231,868
  4. Step 4: Simplify right side
    157,652x = 53,762,769,424
  5. Step 5: Solve for x
    x = 53,762,769,424/157,652
  6. Step 6: Final answer
    x = 341,021.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.