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Finding the Third Proportional to 158,998.50 and 215,903.25

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Solution

The third proportional to 158,998.50 and 215,903.25 is: 293,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,998.50 : 215,903.25 = 215,903.25 : x
  2. Step 2: Convert to fraction form
    158,998.50/215,903.25 = 215,903.25/x
  3. Step 3: Cross multiply
    158,998.50x = 215,903.25 × 215,903.25
  4. Step 4: Simplify right side
    158,998.50x = 46,614,213,360.56
  5. Step 5: Solve for x
    x = 46,614,213,360.56/158,998.50
  6. Step 6: Final answer
    x = 293,173.92

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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.