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Finding the Third Proportional to 157,076 and 327,400

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Solution

The third proportional to 157,076 and 327,400 is: 682,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,076 : 327,400 = 327,400 : x
  2. Step 2: Convert to fraction form
    157,076/327,400 = 327,400/x
  3. Step 3: Cross multiply
    157,076x = 327,400 × 327,400
  4. Step 4: Simplify right side
    157,076x = 107,190,760,000
  5. Step 5: Solve for x
    x = 107,190,760,000/157,076
  6. Step 6: Final answer
    x = 682,413.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.