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Finding the Third Proportional to 138,040 and 298,648

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Solution

The third proportional to 138,040 and 298,648 is: 646,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,040 : 298,648 = 298,648 : x
  2. Step 2: Convert to fraction form
    138,040/298,648 = 298,648/x
  3. Step 3: Cross multiply
    138,040x = 298,648 × 298,648
  4. Step 4: Simplify right side
    138,040x = 89,190,627,904
  5. Step 5: Solve for x
    x = 89,190,627,904/138,040
  6. Step 6: Final answer
    x = 646,121.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.