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Finding the Third Proportional to 138,442 and 303,092

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Solution

The third proportional to 138,442 and 303,092 is: 663,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,442 : 303,092 = 303,092 : x
  2. Step 2: Convert to fraction form
    138,442/303,092 = 303,092/x
  3. Step 3: Cross multiply
    138,442x = 303,092 × 303,092
  4. Step 4: Simplify right side
    138,442x = 91,864,760,464
  5. Step 5: Solve for x
    x = 91,864,760,464/138,442
  6. Step 6: Final answer
    x = 663,561.35

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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.