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Finding the Third Proportional to 149,698.13 and 332,616.38

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Solution

The third proportional to 149,698.13 and 332,616.38 is: 739,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,698.13 : 332,616.38 = 332,616.38 : x
  2. Step 2: Convert to fraction form
    149,698.13/332,616.38 = 332,616.38/x
  3. Step 3: Cross multiply
    149,698.13x = 332,616.38 × 332,616.38
  4. Step 4: Simplify right side
    149,698.13x = 110,633,652,918.14
  5. Step 5: Solve for x
    x = 110,633,652,918.14/149,698.13
  6. Step 6: Final answer
    x = 739,045.01

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.