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Finding the Third Proportional to 192,585.50 and 429,427

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Solution

The third proportional to 192,585.50 and 429,427 is: 957,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,585.50 : 429,427 = 429,427 : x
  2. Step 2: Convert to fraction form
    192,585.50/429,427 = 429,427/x
  3. Step 3: Cross multiply
    192,585.50x = 429,427 × 429,427
  4. Step 4: Simplify right side
    192,585.50x = 184,407,548,329
  5. Step 5: Solve for x
    x = 184,407,548,329/192,585.50
  6. Step 6: Final answer
    x = 957,535.99

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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.