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Finding the Third Proportional to 158,423.50 and 215,225

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Solution

The third proportional to 158,423.50 and 215,225 is: 292,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,423.50 : 215,225 = 215,225 : x
  2. Step 2: Convert to fraction form
    158,423.50/215,225 = 215,225/x
  3. Step 3: Cross multiply
    158,423.50x = 215,225 × 215,225
  4. Step 4: Simplify right side
    158,423.50x = 46,321,800,625
  5. Step 5: Solve for x
    x = 46,321,800,625/158,423.50
  6. Step 6: Final answer
    x = 292,392.23

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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.