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Finding the Third Proportional to 151,424 and 231,168

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Solution

The third proportional to 151,424 and 231,168 is: 352,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424 : 231,168 = 231,168 : x
  2. Step 2: Convert to fraction form
    151,424/231,168 = 231,168/x
  3. Step 3: Cross multiply
    151,424x = 231,168 × 231,168
  4. Step 4: Simplify right side
    151,424x = 53,438,644,224
  5. Step 5: Solve for x
    x = 53,438,644,224/151,424
  6. Step 6: Final answer
    x = 352,907.36

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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.