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Finding the Third Proportional to 192,588.50 and 429,433.50

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Solution

The third proportional to 192,588.50 and 429,433.50 is: 957,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,588.50 : 429,433.50 = 429,433.50 : x
  2. Step 2: Convert to fraction form
    192,588.50/429,433.50 = 429,433.50/x
  3. Step 3: Cross multiply
    192,588.50x = 429,433.50 × 429,433.50
  4. Step 4: Simplify right side
    192,588.50x = 184,413,130,922.25
  5. Step 5: Solve for x
    x = 184,413,130,922.25/192,588.50
  6. Step 6: Final answer
    x = 957,550.07

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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.