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Finding the Third Proportional to 138,792 and 298,634

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Solution

The third proportional to 138,792 and 298,634 is: 642,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,792 : 298,634 = 298,634 : x
  2. Step 2: Convert to fraction form
    138,792/298,634 = 298,634/x
  3. Step 3: Cross multiply
    138,792x = 298,634 × 298,634
  4. Step 4: Simplify right side
    138,792x = 89,182,265,956
  5. Step 5: Solve for x
    x = 89,182,265,956/138,792
  6. Step 6: Final answer
    x = 642,560.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.