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Finding the Third Proportional to 192,540.50 and 429,353.50

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Solution

The third proportional to 192,540.50 and 429,353.50 is: 957,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,540.50 : 429,353.50 = 429,353.50 : x
  2. Step 2: Convert to fraction form
    192,540.50/429,353.50 = 429,353.50/x
  3. Step 3: Cross multiply
    192,540.50x = 429,353.50 × 429,353.50
  4. Step 4: Simplify right side
    192,540.50x = 184,344,427,962.25
  5. Step 5: Solve for x
    x = 184,344,427,962.25/192,540.50
  6. Step 6: Final answer
    x = 957,431.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.