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Finding the Third Proportional to 177,512 and 389,448.50

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Solution

The third proportional to 177,512 and 389,448.50 is: 854,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,512 : 389,448.50 = 389,448.50 : x
  2. Step 2: Convert to fraction form
    177,512/389,448.50 = 389,448.50/x
  3. Step 3: Cross multiply
    177,512x = 389,448.50 × 389,448.50
  4. Step 4: Simplify right side
    177,512x = 151,670,134,152.25
  5. Step 5: Solve for x
    x = 151,670,134,152.25/177,512
  6. Step 6: Final answer
    x = 854,421.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.