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Finding the Third Proportional to 138,444 and 303,096

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Solution

The third proportional to 138,444 and 303,096 is: 663,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444 : 303,096 = 303,096 : x
  2. Step 2: Convert to fraction form
    138,444/303,096 = 303,096/x
  3. Step 3: Cross multiply
    138,444x = 303,096 × 303,096
  4. Step 4: Simplify right side
    138,444x = 91,867,185,216
  5. Step 5: Solve for x
    x = 91,867,185,216/138,444
  6. Step 6: Final answer
    x = 663,569.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.