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Finding the Third Proportional to 138,601.13 and 304,266.38

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Solution

The third proportional to 138,601.13 and 304,266.38 is: 667,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 304,266.38 = 304,266.38 : x
  2. Step 2: Convert to fraction form
    138,601.13/304,266.38 = 304,266.38/x
  3. Step 3: Cross multiply
    138,601.13x = 304,266.38 × 304,266.38
  4. Step 4: Simplify right side
    138,601.13x = 92,578,026,955.64
  5. Step 5: Solve for x
    x = 92,578,026,955.64/138,601.13
  6. Step 6: Final answer
    x = 667,945.71

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Why These Related Problems?

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