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Finding the Third Proportional to 194,709.75 and 294,662.75

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Solution

The third proportional to 194,709.75 and 294,662.75 is: 445,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709.75 : 294,662.75 = 294,662.75 : x
  2. Step 2: Convert to fraction form
    194,709.75/294,662.75 = 294,662.75/x
  3. Step 3: Cross multiply
    194,709.75x = 294,662.75 × 294,662.75
  4. Step 4: Simplify right side
    194,709.75x = 86,826,136,237.56
  5. Step 5: Solve for x
    x = 86,826,136,237.56/194,709.75
  6. Step 6: Final answer
    x = 445,925.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.