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Finding the Third Proportional to 157,924 and 231,990

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Solution

The third proportional to 157,924 and 231,990 is: 340,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,924 : 231,990 = 231,990 : x
  2. Step 2: Convert to fraction form
    157,924/231,990 = 231,990/x
  3. Step 3: Cross multiply
    157,924x = 231,990 × 231,990
  4. Step 4: Simplify right side
    157,924x = 53,819,360,100
  5. Step 5: Solve for x
    x = 53,819,360,100/157,924
  6. Step 6: Final answer
    x = 340,792.79

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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.