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Finding the Third Proportional to 138,870 and 298,773

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Solution

The third proportional to 138,870 and 298,773 is: 642,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870 : 298,773 = 298,773 : x
  2. Step 2: Convert to fraction form
    138,870/298,773 = 298,773/x
  3. Step 3: Cross multiply
    138,870x = 298,773 × 298,773
  4. Step 4: Simplify right side
    138,870x = 89,265,305,529
  5. Step 5: Solve for x
    x = 89,265,305,529/138,870
  6. Step 6: Final answer
    x = 642,797.62

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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.