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Finding the Third Proportional to 192,577.50 and 429,411.38

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Solution

The third proportional to 192,577.50 and 429,411.38 is: 957,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,577.50 : 429,411.38 = 429,411.38 : x
  2. Step 2: Convert to fraction form
    192,577.50/429,411.38 = 429,411.38/x
  3. Step 3: Cross multiply
    192,577.50x = 429,411.38 × 429,411.38
  4. Step 4: Simplify right side
    192,577.50x = 184,394,128,979.39
  5. Step 5: Solve for x
    x = 184,394,128,979.39/192,577.50
  6. Step 6: Final answer
    x = 957,506.09

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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.