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Finding the Third Proportional to 132,718.50 and 290,351.25

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Solution

The third proportional to 132,718.50 and 290,351.25 is: 635,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,718.50 : 290,351.25 = 290,351.25 : x
  2. Step 2: Convert to fraction form
    132,718.50/290,351.25 = 290,351.25/x
  3. Step 3: Cross multiply
    132,718.50x = 290,351.25 × 290,351.25
  4. Step 4: Simplify right side
    132,718.50x = 84,303,848,376.56
  5. Step 5: Solve for x
    x = 84,303,848,376.56/132,718.50
  6. Step 6: Final answer
    x = 635,207.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.