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Finding the Third Proportional to 158,604.50 and 215,299.50

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Solution

The third proportional to 158,604.50 and 215,299.50 is: 292,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,604.50 : 215,299.50 = 215,299.50 : x
  2. Step 2: Convert to fraction form
    158,604.50/215,299.50 = 215,299.50/x
  3. Step 3: Cross multiply
    158,604.50x = 215,299.50 × 215,299.50
  4. Step 4: Simplify right side
    158,604.50x = 46,353,874,700.25
  5. Step 5: Solve for x
    x = 46,353,874,700.25/158,604.50
  6. Step 6: Final answer
    x = 292,260.78

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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.