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Finding the Third Proportional to 138,974 and 299,980

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Solution

The third proportional to 138,974 and 299,980 is: 647,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,974 : 299,980 = 299,980 : x
  2. Step 2: Convert to fraction form
    138,974/299,980 = 299,980/x
  3. Step 3: Cross multiply
    138,974x = 299,980 × 299,980
  4. Step 4: Simplify right side
    138,974x = 89,988,000,400
  5. Step 5: Solve for x
    x = 89,988,000,400/138,974
  6. Step 6: Final answer
    x = 647,516.80

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