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Finding the Third Proportional to 159,007.50 and 215,921.25

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Solution

The third proportional to 159,007.50 and 215,921.25 is: 293,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,007.50 : 215,921.25 = 215,921.25 : x
  2. Step 2: Convert to fraction form
    159,007.50/215,921.25 = 215,921.25/x
  3. Step 3: Cross multiply
    159,007.50x = 215,921.25 × 215,921.25
  4. Step 4: Simplify right side
    159,007.50x = 46,621,986,201.56
  5. Step 5: Solve for x
    x = 46,621,986,201.56/159,007.50
  6. Step 6: Final answer
    x = 293,206.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.