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Finding the Third Proportional to 143,792 and 308,400

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Solution

The third proportional to 143,792 and 308,400 is: 661,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,792 : 308,400 = 308,400 : x
  2. Step 2: Convert to fraction form
    143,792/308,400 = 308,400/x
  3. Step 3: Cross multiply
    143,792x = 308,400 × 308,400
  4. Step 4: Simplify right side
    143,792x = 95,110,560,000
  5. Step 5: Solve for x
    x = 95,110,560,000/143,792
  6. Step 6: Final answer
    x = 661,445.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.