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Finding the Third Proportional to 137,976 and 303,046

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Solution

The third proportional to 137,976 and 303,046 is: 665,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 303,046 = 303,046 : x
  2. Step 2: Convert to fraction form
    137,976/303,046 = 303,046/x
  3. Step 3: Cross multiply
    137,976x = 303,046 × 303,046
  4. Step 4: Simplify right side
    137,976x = 91,836,878,116
  5. Step 5: Solve for x
    x = 91,836,878,116/137,976
  6. Step 6: Final answer
    x = 665,600.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.