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Finding the Third Proportional to 162,534.50 and 215,665

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Solution

The third proportional to 162,534.50 and 215,665 is: 286,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,534.50 : 215,665 = 215,665 : x
  2. Step 2: Convert to fraction form
    162,534.50/215,665 = 215,665/x
  3. Step 3: Cross multiply
    162,534.50x = 215,665 × 215,665
  4. Step 4: Simplify right side
    162,534.50x = 46,511,392,225
  5. Step 5: Solve for x
    x = 46,511,392,225/162,534.50
  6. Step 6: Final answer
    x = 286,163.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.