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Finding the Third Proportional to 138,991.50 and 290,045

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Solution

The third proportional to 138,991.50 and 290,045 is: 605,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,991.50 : 290,045 = 290,045 : x
  2. Step 2: Convert to fraction form
    138,991.50/290,045 = 290,045/x
  3. Step 3: Cross multiply
    138,991.50x = 290,045 × 290,045
  4. Step 4: Simplify right side
    138,991.50x = 84,126,102,025
  5. Step 5: Solve for x
    x = 84,126,102,025/138,991.50
  6. Step 6: Final answer
    x = 605,260.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.