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Finding the Third Proportional to 151,503 and 230,400

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Solution

The third proportional to 151,503 and 230,400 is: 350,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,503 : 230,400 = 230,400 : x
  2. Step 2: Convert to fraction form
    151,503/230,400 = 230,400/x
  3. Step 3: Cross multiply
    151,503x = 230,400 × 230,400
  4. Step 4: Simplify right side
    151,503x = 53,084,160,000
  5. Step 5: Solve for x
    x = 53,084,160,000/151,503
  6. Step 6: Final answer
    x = 350,383.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.