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Finding the Third Proportional to 171,299.81 and 376,771.50

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Solution

The third proportional to 171,299.81 and 376,771.50 is: 828,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,299.81 : 376,771.50 = 376,771.50 : x
  2. Step 2: Convert to fraction form
    171,299.81/376,771.50 = 376,771.50/x
  3. Step 3: Cross multiply
    171,299.81x = 376,771.50 × 376,771.50
  4. Step 4: Simplify right side
    171,299.81x = 141,956,763,212.25
  5. Step 5: Solve for x
    x = 141,956,763,212.25/171,299.81
  6. Step 6: Final answer
    x = 828,703.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.