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Finding the Third Proportional to 137,036.81 and 330,134.48

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Solution

The third proportional to 137,036.81 and 330,134.48 is: 795,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,036.81 : 330,134.48 = 330,134.48 : x
  2. Step 2: Convert to fraction form
    137,036.81/330,134.48 = 330,134.48/x
  3. Step 3: Cross multiply
    137,036.81x = 330,134.48 × 330,134.48
  4. Step 4: Simplify right side
    137,036.81x = 108,988,777,773.55
  5. Step 5: Solve for x
    x = 108,988,777,773.55/137,036.81
  6. Step 6: Final answer
    x = 795,324.82

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.